Benoît Perthame

182
Documents

Publications

Publications

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Deriving sub-diffusion equations

Benoît Perthame , Min Tang
2025
Pré-publication, Document de travail hal-05185833 v1
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Strongly nonlinear age structured equation, time-elapsed model and large delays

Benoît Perthame , Delphine Salort , Clément Rieutord
2025
Pré-publication, Document de travail hal-04983584 v1
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On a relaxed Cahn-Hilliard tumour growth model with single-well potential and degenerate mobility

Cecilia Cavaterra , Matteo Fornoni , Maurizio Grasselli , Benoît Perthame
2025
Pré-publication, Document de travail hal-05422629 v1
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Patterns in the Keller-Segel system with density cut-off

Benoît Perthame , Mingyue Zhang
2024
Pré-publication, Document de travail hal-04825133 v1
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Existence, regularity and stability in a strongly degenerate nonlinear diffusion and haptotaxis model of cancer invasion

Benoît Perthame , Chiara Villa
2025
Pré-publication, Document de travail hal-04854773 v2
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Noisy integrate-and-fire equation: continuation after blow-up

Xu'An Dou , Benoît Perthame , Delphine Salort , Zhennan Zhou
2024
Pré-publication, Document de travail hal-04703356 v1
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Incompressible limit of porous media equation with chemotaxis and growth

Qingyou He , Hai-Liang Li , Benoît Perthame
2023
Pré-publication, Document de travail hal-04361186 v1
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On the limit problem arising in the kinetic derivation of the Cahn-Hilliard equation

Charles Elbar , Benoît Perthame , Jakub Skrzeczkowski
2023
Pré-publication, Document de travail hal-04125162 v1
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An infinite-times renewal equation

Xu'An Dou , Benoît Perthame , Chenjiayue Qi , Delphine Salort , Zhennan Zhou
2023
Pré-publication, Document de travail hal-04056973 v1
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A model for cost efficient Workforce Organizational Dynamics and its optimization

Benoît Perthame , Edouard Ribes , Karim Touahri , Delphine Salort
2017
Pré-publication, Document de travail hal-01562387 v1
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Strategic Workforce Planning and sales force : a demographic approach to productivity

Marie Doumic , Mathieu Mezache , Benoît Perthame , Edouard Ribes , Delphine Salort
2017
Pré-publication, Document de travail hal-01449812 v1
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Employee turnover prediction and retention policies design: a case study

Edouard Ribes , Karim Touahri , Benoît Perthame
2017
Pré-publication, Document de travail hal-01556746 v1
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Waves for an hyperbolic Keller-Segel model and branching instabilities

Fiammetta Cerreti , Benoît Perthame , Christian Schmeiser , Min Tang , Nicolas Vauchelet
2010
Pré-publication, Document de travail inria-00490893 v2
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Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation

Grégoire Nadin , Benoît Perthame , Min Tang
2010
Pré-publication, Document de travail hal-00537986 v1
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Dynamics of a structured neuron population

Khashayar Pakdaman , Benoît Perthame , Delphine Salort
2009
Pré-publication, Document de travail hal-00387413 v1
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Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result

Guy Barles , Sepideh Mirrahimi , Benoît Perthame
2009
Pré-publication, Document de travail hal-00391982 v1
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Bimodality, prion aggregates infectivity and prediction of strain phenomenon

Vincent Calvez , Natacha Lenuzza , Dietmar Oelz , Jean-Philippe Deslys , Pascal Laurent et al.
2008
Pré-publication, Document de travail hal-00255790 v1
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Dynamics of Nonlocal Fisher concentration points: a nonlinear analysis of Turing patterns

Benoît Perthame , Stéphane Génieys
2007
Pré-publication, Document de travail hal-00128250 v1
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Asymmetric potentials and motor effect: a large deviation approach

Benoît Perthame , Panagiotis E. Souganidis
2007
Pré-publication, Document de travail hal-00147705 v1
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Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity

Benoît Perthame , Luis Vega
2006
Pré-publication, Document de travail hal-00088130 v1
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On the Inverse Problem for a Size-Structured Population Model

Benoît Perthame , Jorge Zubelli
2006
Pré-publication, Document de travail hal-00110904 v1
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Wasserstein contraction for the stochastic Morris-Lecar neuron model

Maxime Herda , Pierre Monmarché , Benoît Perthame
Kinetic and Related Models , 2025, 18 (1), pp.1-18. ⟨10.3934/krm.2024009⟩
Article dans une revue hal-04170316 v2
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Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion

Marie Doumic , Sophie Hecht , Benoît Perthame , Diane Peurichard
Journal of Differential Equations, In press, 389, pp.228-256. ⟨10.1016/j.jde.2024.01.017⟩
Article dans une revue hal-04108050 v2
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A model for membrane degradation using a gelatin invadopodia assay

Giorgia Ciavolella , Nathalie Ferrand , Michéle Sabbah , Benoît Perthame , Roberto Natalini
Bulletin of Mathematical Biology, 2024, 86 (3), pp.30. ⟨10.1007/s11538-024-01260-w⟩
Article dans une revue hal-04446414 v1
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A Hamilton-Jacobi approach to nonlocal kinetic equations

Nadia Loy , Benoît Perthame
Nonlinearity, 2024, 37 (10), pp.105019. ⟨10.1088/1361-6544/ad75dd⟩
Article dans une revue hal-04428238 v1
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Structured Model Conserving Biomass for the Size-spectrum Evolution in Aquatic Ecosystems

Laura Kanzler , Benoît Perthame , Benoît Sarels
Journal of Mathematical Biology, 2024, 88 (3), pp.26. ⟨10.1007/s00285-023-02043-y⟩
Article dans une revue hal-03895919 v2
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Nonlocal Cahn-Hilliard equation with degenerate mobility: Incompressible limit and convergence to stationary states

Charles Elbar , Benoît Perthame , Andrea Poiatti , Jakub Skrzeczkowski
Archive for Rational Mechanics and Analysis, 2024, 248 (3), pp.41. ⟨10.1007/s00205-024-01990-0⟩
Article dans une revue hal-04094130 v1
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Pressure jump and radial stationary solutions of the degenerate Cahn-Hilliard equation (Extended version)

Charles Elbar , Benoît Perthame , Jakub Skrzeczkowski
Comptes Rendus. Mécanique, In press, ⟨10.5802/crmeca.173⟩
Article dans une revue hal-03696545 v3
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From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation

Charles Elbar , Marco Mason , Benoît Perthame , Jakub Skrzeczkowski
Communications in Mathematical Physics, 2023, 401 (1), pp.1033-1057. ⟨10.1007/s00220-023-04663-3⟩
Article dans une revue hal-03744471 v1
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Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience

Xu'An Dou , Benoît Perthame , Delphine Salort , Zhennan Zhou
Discrete and Continuous Dynamical Systems - Series A, 2023, 43 (3&4), pp.1366-1382. ⟨10.3934/dcds.2022136⟩
Article dans une revue hal-03586715 v1
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The Aronson-Bénilan Estimate in Lebesgue Spaces

Giulia Bevilacqua , Benoît Perthame , Markus Schmidtchen
Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2022, 40 (2), pp.259-286. ⟨10.4171/AIHPC/43⟩
Article dans une revue hal-02909140 v1
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A multiple time renewal equation for neural assemblies with elapsed time model

Nicolas Torres , Benoît Perthame , Delphine Salort
Nonlinearity, 2022, ⟨10.1088/1361-6544/ac8714⟩
Article dans une revue hal-03324280 v3
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Convergence rate for the incompressible limit of nonlinear diffusion–advection equations

Noemi David , Tomasz Dębiec , Benoît Perthame
Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2022, ⟨10.4171/aihpc/53⟩
Article dans une revue hal-03912924 v1
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A Hamilton-Jacobi Approach to Evolution of Dispersal

King-Yeung Lam , Yuan Lou , Benoît Perthame
Communications in Partial Differential Equations, In press
Article dans une revue hal-03835868 v1
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An Asymptotic Preserving Scheme for Capturing Concentrations in Age-structured Models Arising in Adaptive Dynamics

Luís Almeida , Benoît Perthame , Xinran Ruan
Journal of Computational Physics, 2022, 464, pp.111335. ⟨10.1016/j.jcp.2022.111335⟩
Article dans une revue hal-02438316 v2
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Collective motion driven by nutrient consumption

Pierre-Emmanuel Jabin , Benoît Perthame
Asymptotic Analysis, In press
Article dans une revue hal-03766245 v1

Fast reaction limit with nonmonotone reaction function

Benoît Perthame , Jakub Skrzeczkowski
Communications on Pure and Applied Mathematics, 2022, ⟨10.1002/cpa.22042⟩
Article dans une revue hal-02922284 v1
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Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model

Charles Elbar , Benoît Perthame , Alexandre Poulain
Communications in Mathematical Sciences, 2022, 20 (7), pp.1901-1926. ⟨10.4310/CMS.2022.v20.n7.a5⟩
Article dans une revue hal-03484277 v1
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A coupled 3D-1D multiscale Keller-Segel model of chemotaxis and its application to cancer invasion

Federica Bubba , Benoît Perthame , Daniele Cerroni , Pasquale Ciarletta , Paolo Zunino
Discrete and Continuous Dynamical Systems - Series S, 2022, 15 (8), pp.2053-2086
Article dans une revue hal-03348356 v1
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Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility

Tommaso Lorenzi , Benoît Perthame , Xinran Ruan
European Journal of Applied Mathematics, 2022, pp.1-18. ⟨10.1017/S0956792521000218⟩
Article dans une revue hal-03611324 v1
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Motility switching and front-back synchronisation in polarised cells

Gissell Estrada-Rodriguez , Benoît Perthame
Journal of Nonlinear Science, 2022, 32 (3), pp.40. ⟨10.1007/s00332-022-09791-z⟩
Article dans une revue hal-03348350 v1
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Selection-mutation dynamics with asymmetrical reproduction kernels

Benoît Perthame , Martin Strugarek , Cécile Taing
Nonlinear Analysis: Theory, Methods and Applications, 2022, 222, pp.112947. ⟨10.1016/j.na.2022.112947⟩
Article dans une revue hal-03423260 v2
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Final size and convergence rate for an epidemic in heterogeneous population

Luís Almeida , Pierre-Alexandre Bliman , Grégoire Nadin , Benoît Perthame , Nicolas Vauchelet
Mathematical Models and Methods in Applied Sciences, 2021, 31 (05), pp.1021-1051. ⟨10.1142/S0218202521500251⟩
Article dans une revue hal-02981952 v2
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Dynamics of concentration in a population structured by age and a phenotypic trait with mutations. Convergence of the corrector

Samuel Nordmann , Benoît Perthame
Journal of Differential Equations, 2021, ⟨10.1016/j.jde.2021.04.029⟩
Article dans une revue hal-02437168 v1
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Free boundary limit of tumor growth model with nutrient

Noemi David , Benoît Perthame
Journal de Mathématiques Pures et Appliquées, 2021, 155, pp.62-82. ⟨10.1016/j.matpur.2021.01.007⟩
Article dans une revue hal-02515263 v3
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Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension

Tomasz Dębiec , Benoît Perthame , Markus Schmidtchen , Nicolas Vauchelet
Journal de Mathématiques Pures et Appliquées, 2021, 145, pp.204-239. ⟨10.1016/j.matpur.2020.11.002⟩
Article dans une revue hal-02461406 v1
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Kinetic models for epidemic dynamics with social heterogeneity

Giacomo Dimarco , Benoît Perthame , Giuseppe Toscani , Mattia Zanella
Journal of Mathematical Biology, 2021, 83 (1), pp.4. ⟨10.1007/s00285-021-01630-1⟩
Article dans une revue hal-03272232 v1
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Fokker–Plank System for Movement of Micro-organism Population in Confined Environment

Jingyi Fu , Benoît Perthame , Min Tang
Journal of Statistical Physics, 2021, 184 (1), ⟨10.1007/s10955-021-02760-y⟩
Article dans une revue hal-03278860 v1
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An elapsed time model for strongly coupled inhibitory and excitatory neural networks

Nicolas Torres , Maria J. Caceres , Benoît Perthame , Delphine Salort
Physica D: Nonlinear Phenomena, 2021, ⟨10.1016/j.physd.2021.132977⟩
Article dans une revue hal-03172021 v1
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Social contacts and the spread of infectious diseases

Giacomo Dimarco , Benoît Perthame , Giuseppe Toscani , Mattia Zanella
Journal of Mathematical Biology, 2021, 83 (1), pp.4. ⟨10.1007/s00285-021-01630-1⟩
Article dans une revue hal-02934939 v1
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A non-expanding transport distance for some structured equations

Nicolas Fournier , Benoît Perthame
SIAM Journal on Mathematical Analysis, 2021, 53 (6), pp.6847-6872. ⟨10.1137/21M1397313⟩
Article dans une revue hal-03133608 v1
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Existence of a global weak solution for a reaction-diffusion problem with membrane conditions

Giorgia Ciavolella , Benoît Perthame
Journal of Evolution Equations, 2020, 21, pp.1513-1540. ⟨10.1007/s00028-020-00633-7⟩
Article dans une revue hal-02905180 v4
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Hele-Shaw limit for a system of two reaction-(cross-)diffusion equations for living tissues

Federica Bubba , Benoît Perthame , Camille Pouchol , Markus Schmidtchen
Archive for Rational Mechanics and Analysis, 2020, 236, pp.735--766. ⟨10.1007/s00205-019-01479-1⟩
Article dans une revue hal-01970313 v2
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Multiple asymptotics of kinetic equations with internal states

Benoît Perthame , Weiran Sun , Min Tang , Shugo Yasuda
Mathematical Models and Methods in Applied Sciences, 2020, 30 (06), ⟨10.1142/S0218202520400060⟩
Article dans une revue hal-02194421 v1
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Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility

Benoît Perthame , Alexandre Poulain
European Journal of Applied Mathematics, 2020, ⟨10.1017/S0956792520000054⟩
Article dans une revue hal-02274417 v4
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Fast voltage dynamics of voltage-conductance models for neural networks

Jeongho Kim , Benoît Perthame , Delphine Salort
Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, In press, 52, pp.101-134
Article dans une revue hal-02427825 v1
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Reaction-diffusion systems with initial data of low regularity

El-Haj Laamri , Benoît Perthame
Journal of Differential Equations, 2020, 269 (11), ⟨10.1016/j.jde.2020.06.042⟩
Article dans une revue hal-02271103 v1
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Transport costs for PDEs: the coupling method

Nicolas Fournier , Benoît Perthame
EMS Surveys in Mathematical Sciences, 2020, 7 (1), pp.1-31. ⟨10.4171/EMSS/35⟩
Article dans une revue hal-02080155 v3
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Oscillatory regimes in a mosquito population model with larval feedback on egg hatching

Martin Strugarek , Laetitia Dufour , Nicolas Vauchelet , Luís Almeida , Benoît Perthame et al.
Journal of Biological Dynamics, 2019, 13 (1), pp.269-300. ⟨10.1080/17513758.2019.1593524⟩
Article dans une revue hal-01674280 v1
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Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations

Luís Almeida , Federica Bubba , Benoît Perthame , Camille Pouchol
Networks and Heterogeneous Media, 2019, 14 (1), ⟨10.3934/nhm.2019002⟩
Article dans une revue hal-01745769 v2
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The Flux Limited Keller-Segel System; Properties and Derivation from Kinetic Equations

Benoît Perthame , Nicolas Vauchelet , Zhian Wang
Revista Matemática Iberoamericana, In press, 36 (2), ⟨10.4171/rmi/1132⟩
Article dans une revue hal-01689571 v1
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A two species hyperbolic-parabolic model of tissue growth

Piotr Gwiazda , Benoît Perthame , Agnieszká Swierczewska-Gwiazda
Communications in Partial Differential Equations, 2019, 44 (12), pp.1605-1618. ⟨10.1080/03605302.2019.1650064⟩
Article dans une revue hal-01870045 v1
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Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons

Benoît Perthame , Delphine Salort
Communications in Mathematical Sciences, 2019, 17 (5), pp.1193-1211. ⟨10.4310/CMS.2019.v17.n5.a2⟩
Article dans une revue hal-02431772 v3
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Adaptive dynamics of hematopoietic stem cells and their supporting stroma: A model and mathematical analysis

Thanh Nam Nguyen , Jean Clairambault , Thierry Jaffredo , Benoît Perthame , Delphine Salort
Mathematical Biosciences and Engineering, 2019, 16 (05), pp.4818-4845. ⟨10.3934/mbe.2019243⟩
Article dans une revue hal-01963820 v2
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Implicit and Semi-implicit Numerical Schemes for the Gradient Flow of the Formation of Biological Transport Networks

Di Fang , Shi Jin , Peter Markowich , Benoît Perthame
SMAI Journal of Computational Mathematics, 2019, 5, pp.229-249. ⟨10.5802/smai-jcm.59⟩
Article dans une revue hal-01984371 v1
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A chemotaxis-based explanation of spheroid formation in 3D cultures of breast cancer cells

Federica Bubba , Camille Pouchol , Nathalie Ferrand , Guillaume Vidal , Luís Almeida et al.
Journal of Theoretical Biology, 2019, 479, pp.73-80. ⟨10.1016/j.jtbi.2019.07.002⟩
Article dans une revue hal-01895999 v1
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Career plans and wage structures: a mean field game approach

Benoît Perthame , Edouard Ribes , Delphine Salort
Mathematics in Engineering, 2018, 1 (1), pp.47-63. ⟨10.3934/Mine.2018.1.47⟩
Article dans une revue hal-01674630 v1
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Dynamics of concentration in a population model structured by age and a phenotypical trait

Samuel Nordmann , Benoît Perthame , Cécile Taing
Acta Applicandae Mathematicae, 2018, 155 (1), pp.197-225. ⟨10.1007/s10440-017-0151-0⟩
Article dans une revue hal-01493068 v2
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Traveling Wave and Aggregation in a Flux-Limited Keller-Segel Model

Vincent Calvez , Benoît Perthame , Shugo Yasuda
Kinetic and Related Models , 2018, 11 (4), pp.891-909. ⟨10.3934/krm.2018035⟩
Article dans une revue hal-01591490 v1
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Long-time asymptotics for polymerization models

Juan Calvo , Marie Doumic , Benoît Perthame
Communications in Mathematical Physics, 2018, 363 (1), pp.111-137. ⟨10.1007/s00220-018-3218-5⟩
Article dans une revue hal-01570292 v2
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Backward Parabolicity, Cross-Diffusion and Turing Instability

Ayman Moussa , Benoît Perthame , Delphine Salort
Journal of Nonlinear Science, 2018, 29 (1), pp.139--162. ⟨10.1007/s00332-018-9480-z⟩
Article dans une revue hal-01626324 v1
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Analysis of a system describing proliferative-quiescent cell dynamics

Jean Clairambault , Benoît Perthame , Andrada Quillas Maran
Chinese Annals of Mathematics - Series B, 2018, pp.1-13
Article dans une revue hal-01674142 v1
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Super-linear propagation for a general, local cane toads model

Christopher Henderson , Benoît Perthame , Panagiotis E Souganidis
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2018, 20 (4), pp.483-509. ⟨10.4171/IFB/409⟩
Article dans une revue hal-01520145 v2
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The fractional diffusion limit of a kinetic model with biochemical pathway

Benoît Perthame , Weiran Sun , Min Tang
Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2018, 69:67, ⟨10.1007/s00033-018-0964-3⟩
Article dans une revue hal-01584754 v1
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Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller-Segel equation

Benoît Perthame , Shugo Yasuda
Nonlinearity, 2018, 31 (9), ⟨10.1088/1361-6544/aac760⟩
Article dans une revue hal-01494963 v2
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On interfaces between cell populations with different mobilities

Tommaso Lorenzi , Alexander Lorz , Benoît Perthame
Kinetic and Related Models , 2017, 10 (1), pp.299-311. ⟨10.3934/krm.2017012⟩
Article dans une revue hal-01257180 v2
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Distributed synaptic weights in a LIF neural network and learning rules

Benoît Perthame , Delphine Salort , Gilles Wainrib
Physica D: Nonlinear Phenomena, 2017, 353-354, pp.20-30. ⟨10.1016/j.physd.2017.05.005⟩
Article dans une revue hal-01541093 v1
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Dirac concentrations in a chemostat model of adaptive evolution

Alexander Lorz , Benoît Perthame , Cécile Taing
Chinese Annals of Mathematics - Series B, 2017
Article dans une revue hal-01255449 v1
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A Hele-Shaw Problem for Tumor Growth

Antoine Mellet , Benoît Perthame , Fernando Quirós
Journal of Functional Analysis, 2017, 273, pp.3061-3093
Article dans une revue hal-01241309 v1
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Analytical examples of diffusive waves generated by a traveling wave

Harold Moundoyi , Ayman Moussa , Benoît Perthame , Benoît Sarels
Applicable Analysis, 2017, 96 (9), pp.1596-1615. ⟨10.1080/00036811.2017.1314463⟩
Article dans une revue hal-01404972 v1
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Toward an integrated workforce planning framework using structured equations

Marie Doumic , Benoît Perthame , Edouard Ribes , Delphine Salort , Nathan Toubiana
European Journal of Operational Research, 2017, 262, ⟨10.1016/j.ejor.2017.03.076⟩
Article dans une revue hal-01343368 v2
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Free boundary problems for tumor growth: a viscosity solutions approach

Inwon C. Kim , Benoît Perthame , Panagiotis E. Souganidis
Nonlinear Analysis: Theory, Methods and Applications, 2016, 138, pp.207-228. ⟨10.1016/j.na.2016.01.019⟩
Article dans une revue hal-01155696 v1
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Rare mutations limit of a steady state dispersal evolution model

Benoît Perthame , Panagiotis E. Souganidis
Mathematical Modelling of Natural Phenomena, 2016, 11 (4), ⟨10.1051/mmnp/201611411⟩
Article dans une revue hal-01149029 v3
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Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes

Benjamin Gess , Benoît Perthame , Panagiotis E. Souganidis
SIAM Journal on Numerical Analysis, 2016, 54 (4), pp.2187-2209. ⟨10.1137/15M1053670⟩
Article dans une revue hal-01481284 v1
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Notes on a PDE System for Biological Network Formation

Jan Haskovec , Peter Markowich , Benoît Perthame , Matthias Schlottbom
Nonlinear Analysis: Real World Applications, 2016, Nonlinear Partial Differential Equations, in honor of Juan Luis Vázquez for his 70th birthday, 138, pp.127-155. ⟨10.1016/j.na.2015.12.018⟩
Article dans une revue hal-01232080 v1
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Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws

Bruno Després , Benoît Perthame
SIAM/ASA Journal on Uncertainty Quantification, 2016, 4 (1), pp.980-1013
Article dans une revue hal-01146188 v1
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Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway

Benoît Perthame , Min Tang , Nicolas Vauchelet
Journal of Mathematical Biology, 2016
Article dans une revue hal-01131101 v1
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Qualitative Properties of Solutions for the Noisy Integrate & Fire model in Computational Neuroscience

José Carrillo , Benoît Perthame , Delphine Salort , Didier Smets
Nonlinearity, 2015, 28 (9), pp.3365 ⟨10.1088/0951-7715/28/9/3365⟩
Article dans une revue hal-01079381 v1

Data Assimilation for hyperbolic conservation laws. A Luenberger observer approach based on a kinetic description

Anne-Céline Boulanger , Philippe Moireau , Benoît Perthame , Jacques Sainte-Marie
Communications in Mathematical Sciences, 2015, 13 (3), pp.587 - 622. ⟨10.4310/CMS.2015.v13.n3.a1⟩
Article dans une revue hal-00924559 v1
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Competition and boundary formation in heterogeneous media: Application to neuronal differentiation

Benoît Perthame , Cristóbal Quiñinao , Jonathan Touboul
Mathematical Models and Methods in Applied Sciences, 2015, 25 (13), pp.2477-2502. ⟨10.1142/S0218202515400151⟩
Article dans une revue hal-01054813 v2
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Transversal instability for the thermodiffusive reaction-diffusion system

Michal Kolwalczyk , Benoît Perthame , Nicolas Vauchelet
Chinese Annals of Mathematics - Series B, 2015, 36 (5), pp.871-882. ⟨10.1007/s11401-015-0981-x⟩
Article dans une revue hal-00939013 v1
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Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors

Alexander Lorz , Tommaso Lorenzi , Jean Clairambault , Alexandre Escargueil , Benoît Perthame
Bulletin of Mathematical Biology, 2015, 77 (1), pp.1-22. ⟨10.1007/s11538-014-0046-4⟩
Article dans une revue hal-00921266 v2
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Mathematical Analysis of a System for Biological Network Formation

Jan Haskovec , Peter Markowich , Benoît Perthame
Communications in Partial Differential Equations, 2015, 40 (5), pp.918-956. ⟨10.1080/03605302.2014.968792⟩
Article dans une revue hal-00998344 v1
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Asymptotic analysis of a selection model with space

Sepideh Mirrahimi , Benoît Perthame
Journal de Mathématiques Pures et Appliquées, 2015, 104, pp.1108-1118
Article dans une revue hal-01030762 v1

Dynamics of time elapsed inhomogeneous neuron network model

Moon-Jin Kang , Benoît Perthame , Delphine Salort
Comptes Rendus. Mathématique, 2015, 353, pp.1111-1115. ⟨10.1016/j.crma.2015.09.029⟩
Article dans une revue hal-01241300 v1
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Incompressible limit of mechanical model of tumor growth with viscosity

Benoît Perthame , Nicolas Vauchelet
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934–1990), 2015, 373, pp.20140283. ⟨10.1098/rsta.2014.0283⟩
Article dans une revue hal-01066494 v1
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Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity

Maria J. Caceres , Benoît Perthame
Journal of Theoretical Biology, 2014, 350, pp.81-89. ⟨10.1016/j.jtbi.2014.02.005⟩
Article dans une revue hal-00874746 v1
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Scalar conservation laws with rough (stochastic) fluxes; the spatially dependent case

Pierre Louis Lions , Benoît Perthame , Panagiotis E. Souganidis
Stochastics and Partial Differential Equations: Analysis and Computations, 2014, 2 (4), pp.517-538. ⟨10.1007/s40072-014-0038-2⟩
Article dans une revue hal-00960332 v2
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Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient

Benoît Perthame , Min Tang , Nicolas Vauchelet
Mathematical Models and Methods in Applied Sciences, 2014, 24 (13), pp.2601-2626
Article dans une revue hal-00931399 v1
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Long-term analysis of phenotypically structured models

Alexander Lorz , Benoît Perthame
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 2014, 470 (2167), pp.1-10. ⟨10.1098/rspa.2014.0089⟩
Article dans une revue hal-00941097 v1
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A simple derivation of BV bounds for inhomogeneous relaxation systems

Benoît Perthame , Nicolas Seguin , Magali Tournus
Communications in Mathematical Sciences, 2014, 13 (2), pp.577-586
Article dans une revue hal-00974269 v1
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The Hele-Shaw asymptotics for mechanical models of tumor growth

Benoît Perthame , Fernando Quirós , Juan-Luis Vázquez
Archive for Rational Mechanics and Analysis, 2014, 212, pp.93-127. ⟨10.1007/s00205-013-0704-y⟩
Article dans une revue hal-00831932 v1
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Bernoulli variational problem and beyond

Alexander Lorz , Peter Markowich , Benoît Perthame
Archive for Rational Mechanics and Analysis, 2014, 212, pp.415-443. ⟨10.1007/s00205-013-0707-8⟩
Article dans une revue hal-00881760 v1
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Derivation of a Hele-Shaw type system from a cell model with active motion

Benoît Perthame , Fernando Quirós , Min Tang , Nicolas Vauchelet
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2014, 14 (4), pp.489-508. ⟨10.4171/IFB/327⟩
Article dans une revue hal-00906168 v1
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Adaptation and Fatigue Model for Neuron Networks and Large Time Asymptotics in a Nonlinear Fragmentation Equation

Khashayar Pakdaman , Benoît Perthame , Delphine Salort
Journal of Mathematical Neuroscience, 2014, 4 (1), pp.14. ⟨10.1186/2190-8567-4-14⟩
Article dans une revue hal-01054561 v1
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Scalar conservation laws with rough (stochastic) fluxes

Pierre Louis Lions , Benoît Perthame , Panagiotis E. Souganidis
Stochastics and Partial Differential Equations: Analysis and Computations, 2013, 1 (4), pp.664-686. ⟨10.1007/s40072-013-0021-3⟩
Article dans une revue hal-00859393 v1
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Nonlinear stability of a Vlasov equation for magnetic plasmas

Frédérique Charles , Bruno Després , Benoît Perthame , Remi Sentis
Kinetic and Related Models , 2013, 6 (2), pp.269 - 290. ⟨10.3934/krm.2013.6.269⟩
Article dans une revue hal-00689810 v1
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On a voltage-conductance kinetic system for integrate and fire neural networks

Benoît Perthame , Delphine Salort
Kinetic and Related Models , 2013, 6 (4), pp.841-864. ⟨10.3934/krm.2013.6.841⟩
Article dans une revue hal-00871609 v1
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Time fluctuations in a population model of adaptive dynamics

Sepideh Mirrahimi , Benoît Perthame , Panagiotis E. Souganidis
Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2013, pp.ANIHPC:2647. ⟨10.1016/j.anihpc.2013.10.001⟩
Article dans une revue hal-00829494 v1

A model of calcium transport along the rat nephron

Magali Tournus , Nicolas Seguin , Benoît Perthame , S. Randal Thomas , Aurélie Edwards
American Journal of Physiology, 2013, 305, pp.F979-F994. ⟨10.1152/ajprenal.00696.2012⟩
Article dans une revue hal-00871608 v1
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Applying ecological and evolutionary theory to cancer: a long and winding road

Frédéric Thomas , Daniel Fisher , Philippe Fort , Jean-Pierre Marie , Simon Daoust et al.
Evolutionary Applications, 2013, 6 (1), pp.1-10. ⟨10.1111/eva.12021⟩
Article dans une revue halsde-00790602 v1
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Direct competition results from strong competiton for limited resource

Sepideh Mirrahimi , Benoît Perthame , Joe Yuichiro Wakano
Journal of Mathematical Biology, 2013, pp.0303-6812. ⟨10.1007/s00285-013-0659-5⟩
Article dans une revue hal-00663832 v2
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Wave-like solutions for nonlocal reaction-diffusion equations: a toy model

Grégoire Nadin , Luca Rossi , Leonid Ryzhik , Benoît Perthame
Mathematical Modelling of Natural Phenomena, 2013, 8 (3), pp.33-41. ⟨10.1051/mmnp/20127102⟩
Article dans une revue hal-00923692 v1
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Optimal Regularizing Effect for Scalar Conservation Laws

François Golse , Benoît Perthame
Revista Matemática Iberoamericana, 2013, 29 (2013), pp.1477-1504. ⟨10.4171/rmi/765⟩
Article dans une revue hal-00650350 v2
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Composite waves for a cell population system modelling tumor growth and invasion

Min Tang , Nicolas Vauchelet , Ibrahim Cheddadi , Irene Vignon-Clementel , Dirk Drasdo et al.
Chinese Annals of Mathematics - Series B, 2013, 34B (2), pp.295-318. ⟨10.1007/s11401-007-0001-x⟩
Article dans une revue hal-00685063 v1
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Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies

Alexander Lorz , Tommaso Lorenzi , Michael E. Hochberg , Jean Clairambault , Benoît Perthame
ESAIM: Mathematical Modelling and Numerical Analysis, 2013, pp.23. ⟨10.1051/m2an/2012031⟩
Article dans une revue hal-00714274 v1
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Singular Hamilton-Jacobi equation modeling the tail problem

Sepideh Mirrahimi , Guy Barles , Benoît Perthame , Panagiotis E. Souganidis
SIAM Journal on Mathematical Analysis, 2012, 44 (6), pp.4297-4319. ⟨10.1137/100819527⟩
Article dans une revue hal-00503154 v2
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Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration

Emeric Bouin , Vincent Calvez , Nicolas Meunier , Sepideh Mirrahimi , Benoît Perthame et al.
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2012, 350 (15-16), pp.761-766. ⟨10.1016/j.crma.2012.09.010⟩
Article dans une revue hal-00716349 v1
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Evolution of species trait through resource competition

Sepideh Mirrahimi , Benoît Perthame , Joe Yuichiro Wakano
Journal of Mathematical Biology, 2012, 64 (7), pp.1189-1223. ⟨10.1007/s00285-011-0447-z⟩
Article dans une revue hal-00566888 v1
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Regularization in Keller-Segel type systems and the De Giorgi method

Benoît Perthame , Alexis F. Vasseur
Communications in Mathematical Sciences, 2012, 10 (2), pp.463 - 476. ⟨10.4310/CMS.2012.v10.n2.a2⟩
Article dans une revue hal-01374730 v1
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Analysis of a simplified model of the urine concentration mechanism

Magali Tournus , Aurélie Edwards , Nicolas Seguin , Benoît Perthame
Networks and Heterogeneous Media, 2012, 7 (4), pp.989-1018. ⟨10.3934/nhm.2012.7.989⟩
Article dans une revue hal-00605109 v2
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Dirac mass dynamics in multidimensional nonlocal parabolic equations

Alexander Lorz , Sepideh Mirrahimi , Benoît Perthame
Communications in Partial Differential Equations, 2011, 36, pp.1071-1098. ⟨10.1080/03605302.2010.538784⟩
Article dans une revue hal-00533693 v2

Directional persistence of chemotactic bacteria in a traveling concentration wave

Jonathan Saragosti , Vincent Calvez , Nikolaos Bournaveas , Benoît Perthame , Axel Buguin et al.
Proceedings of the National Academy of Sciences of the United States of America, 2011, 108 (39), pp.16235-16240. ⟨10.1073/pnas.1101996108⟩
Article dans une revue hal-00789064 v1
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A Structured Population Model of Cell Differentiation

Marie Doumic , Anna Marciniak-Czochra , Benoît Perthame , Jorge Zubelli
SIAM Journal on Applied Mathematics, 2011, 71 (6), pp.1918-1940. ⟨10.1137/100816584⟩
Article dans une revue inria-00541860 v1
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Stability Analysis of a Simplified Yet Complete Model for Chronic Myelegenous Leukemia

Marie Doumic-Jauffret , Peter S. Kim , Benoît Perthame
Bulletin of Mathematical Biology, 2010, 72 (7), pp.1732-1759. ⟨10.1007/s11538-009-9500-0⟩
Article dans une revue hal-00413152 v1

Prion dynamics with size dependency-strain phenomena

Vincent Calvez , Natacha Lenuzza , Marie Doumic , Jean-Philippe Deslys , Franck Mouthon et al.
Journal of Biological Dynamics, 2010, 4 (1), pp.28-42. ⟨10.1080/17513750902935208⟩
Article dans une revue hal-00788492 v1

Models of self organizing bacterial communities and comparisons with experimental observations

A. Marrocco , H. Henry , I. B. Holland , M. Plapp , S. J. Séror et al.
Mathematical Modelling of Natural Phenomena, 2010, 5, pp.148-162. ⟨10.1051/mmnp/20105107⟩
Article dans une revue hal-00603847 v1
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Mathematical description of bacterial traveling pulses

Jonathan Saragosti , Vincent Calvez , Nikolaos Bournaveas , Axel Buguin , Pascal Silberzan et al.
PLoS Computational Biology, 2010, http://www.ploscompbiol.org/article/info%3Adoi%2F10.1371%2Fjournal.pcbi.1000890. ⟨10.1371/journal.pcbi.1000890⟩
Article dans une revue hal-00440108 v1

Survival thresholds and mortality rates in adaptive dynamics: conciliating deterministic and stochastic simulations

Benoît Perthame , Mathias Gauduchon
MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA, 2010, 27 (3), pp.195-210. ⟨10.1093/imammb/dqp018⟩
Article dans une revue istex hal-00755201 v1
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Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result

Guy Barles , Sepideh Mirrahimi , Benoît Perthame
Methods and Applications of Analysis, 2009, 16 (3), pp.321-340. ⟨10.4310/MAA.2009.v16.n3.a4⟩
Article dans une revue hal-00371416 v2
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Numerical Solution of an Inverse Problem in Size-Structured Population Dynamics

Marie Doumic-Jauffret , Benoît Perthame , Jorge Zubelli
Inverse Problems, 2009, 25 (4), pp.045008. ⟨10.1088/0266-5611/25/4/045008⟩
Article dans une revue hal-00327151 v1

Size distribution dependence of prion aggregates infectivity

Vincent Calvez , Natacha Lenuzza , Dietmar Oelz , Jean-Philippe Deslys , Pascal Laurent et al.
Mathematical Biosciences, 2009, 217 (1), pp.88-99. ⟨10.1016/j.mbs.2008.10.007⟩
Article dans une revue istex hal-00789017 v1
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Exponential decay for the growth-fragmentation/cell-division equation

Philippe Laurençot , Benoît Perthame
Communications in Mathematical Sciences, 2009, 7 (2), p. 503-510. ⟨10.4310/CMS.2009.v7.n2.a12⟩
Article dans une revue hal-00387408 v1
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A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation

Emmanuel Audusse , Marie-Odile Bristeau , Benoît Perthame , Jacques Sainte-Marie
ESAIM: Mathematical Modelling and Numerical Analysis, 2009, 45, pp.169-200. ⟨10.1051/m2an/2010036⟩
Article dans une revue hal-00355730 v1
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Dirac concentrations in Lotka-Volterra parabolic PDEs

Benoît Perthame , Guy Barles
Indiana University Mathematics Journal, 2008, 57 (7), pp.3275-3301
Article dans une revue hal-00168404 v1

Asymptotic decay for the solutions of the parabolic–parabolic Keller–Segel chemotaxis system in critical spaces

Lucilla Corrias , Benoît Perthame
Mathematical and Computer Modelling, 2008, 47 (7-8), pp.755-764. ⟨10.1016/j.mcm.2007.06.005⟩
Article dans une revue hal-04271096 v1

Critical space for the parabolic-parabolic Keller-Segel model in $\Bbb R\sp d$

Lucilla Corrias , Benoît Perthame
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2006, 342, pp.745-750
Article dans une revue hal-00113524 v1

Two-dimensional Keller-Segel model: optimal critical mass and qualitative properties of the solutions

Adrien Blanchet , Jean Dolbeault , Benoît Perthame
Electronic Journal of Differential Equations, 2006, 44, pp.32
Article dans une revue hal-00113519 v1

Invariants and exponential rate of convergence to steady state in the renewal equation

P. Gwiazda , Benoît Perthame
Markov Processes And Related Fields, 2006, 12, pp.413-424
Article dans une revue hal-00113528 v1

Circadian rhythm and tumour growth

Jean Clairambault , Philippe Michel , Benoît Perthame
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2006, 342, pp.17-22
Article dans une revue hal-00113511 v1

Critical space for the parabolic-parabolic Keller–Segel model in R^d

Lucilla Corrias , Benoît Perthame
Comptes Rendus. Mathématique, 2006, 342 (10), pp.745-750. ⟨10.1016/j.crma.2006.03.008⟩
Article dans une revue istex hal-04271098 v1
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Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions

Adrien Blanchet , Jean Dolbeault , Benoît Perthame
Electronic Journal of Differential Equations, 2006, 44, 32 pp
Article dans une revue hal-00021782 v1
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Upwinding Sources at Interfaces in conservation laws

Theodoros Katsaounis , Benoît Perthame , Chiara Simeoni
Applied Mathematics Letters, 2004, 17 (3), pp.309-316. ⟨10.1016/S0893-9659(04)00012-6⟩
Article dans une revue hal-00922830 v1

Global Solutions of Some Chemotaxis and Angiogenesis Systems in High Space Dimensions

L. Corrias , Benoît Perthame , Hatem Zaag
Milan Journal of Mathematics, 2004, 72 (1), pp.1-28. ⟨10.1007/s00032-003-0026-x⟩
Article dans une revue istex hal-02326115 v1

Global Solutions of Some Chemotaxis and Angiogenesis Systems in High Space Dimensions

L. Corrias , Benoît Perthame , H. Zaag
Milan Journal of Mathematics, 2004, 72 (1), pp.1-28. ⟨10.1007/s00032-003-0026-x⟩
Article dans une revue istex hal-04177805 v1

A chemotaxis model motivated by angiogenesis

Lucilla Corrias , Benoît Perthame , H Zaag
Comptes Rendus. Mathématique, 2003, 336 (2), pp.141-146. ⟨10.1016/S1631-073X(02)00008-0⟩
Article dans une revue istex hal-04271231 v1
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Numerical modeling of avalanches based on Saint-Venant equations using a kinetic scheme

Anne Mangeney-Castelnau , Jean-Pierre Villotte , Marie-Odile Bristeau , Benoît Perthame , François Bouchut et al.
Journal of Geophysical Research, 2003, 108 (B11), pp.2527. ⟨10.1029/2002JB002024⟩
Article dans une revue hal-00922781 v1

A chemotaxis model motivated by angiogenesis

L Corrias , Benoît Perthame , Hatem Zaag
Comptes Rendus. Mathématique, 2003, 336 (2), pp.141-146. ⟨10.1016/S1631-073X(02)00008-0⟩
Article dans une revue istex hal-02326144 v1

A multiscale colloid transport model with anistropic degenerate diffusion

Mohamed Belhadj , Jean-Frédéric Gerbeau , Benoît Perthame
Asymptotic Analysis, 2003, 34 (1), pp.41-54
Article dans une revue hal-00694622 v1

Derivation of Viscous Saint-Venant System for Laminar Shallow Water ; Numerical Validation

Jean-Frédéric Gerbeau , Benoît Perthame
Discrete and Continuous Dynamical Systems - Series B, 2001, 1 (1), pp.89-102. ⟨10.3934/dcdsb.2001.1.89⟩
Article dans une revue hal-00691701 v1
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A kinetic scheme for the Saint-Venant system with a source term

Benoît Perthame , Chiara Simeoni
Calcolo, 2001, 38 (4), pp.201-231. ⟨10.1007/s10092-001-8181-3⟩
Article dans une revue hal-00922664 v2

Kinetic formulation for chromatography and some other hyperbolic systems

François James , Yue-Jun Peng , Benoît Perthame
Journal de Mathématiques Pures et Appliquées, 1995, 74, pp.367-385
Article dans une revue hal-03660408 v1
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Tumour growth and drug resistance: an evolutionary view with perspectives in therapeutics

Jean Clairambault , Luís Almeida , Rebecca Chisholm , Tommaso Lorenzi , Alexander Lorz et al.
ECMTB 2016 - European Conference on Mathematical and Theoretical Biology, Jul 2016, Nottingham, United Kingdom. 2016
Poster de conférence hal-01378290 v1

Parabolic equations in biology

Benoît Perthame
Springer. Springer, 2015, Lecture Notes on Mathematical Modelling in the Life Sciences, 978-3-319-19499-8; 978-3-319-19500-1
Ouvrages hal-01423552 v1

Leçons de mathématiques d'aujourd'hui. Vol. 3

Benoît Perthame , Jeffrey Rauch , Nicole El Karoui , Marc Yor , Wendelin Werner et al.
Perthame Benoît; Rauch Jeffrey; El Karoui Nicole et al. Cassini, pp.xx-426, 2007, Le Sel et le Fer, 17, 978-2-84225-082-9
Ouvrages hal-00717433 v1
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Some mathematical aspects of tumor growth and therapy

Benoît Perthame
ICM 2014 - International Congress of Mathematicians, Aug 2014, Seoul, South Korea
Communication dans un congrès hal-01059766 v1
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Modelling targets for anticancer drug control optimisation in physiologically structured cell population models

Frédérique Billy , Jean Clairambault , Olivier Fercoq , Tommaso Lorenzi , Alexander Lorz et al.
ICNAAM 2012 - 10th international conference of numerical analysis and applied mathematics, Simos, Thodoros, Sep 2012, Kos, Greece. pp.1323-1326, ⟨10.1063/1.4756399⟩
Communication dans un congrès hal-00780721 v1
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Stochastic averaging lemmas for kinetic equations

Pierre Louis Lions , Benoît Perthame , Panagiotis E. Souganidis
Stochastic averaging lemmas for kinetic equations, Jan 2012, Palaiseau, France. 17pp
Communication dans un congrès hal-00684372 v1
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L p and L ∞ a priori estimates for some chemotaxis models and applications to the Cauchy problem

L Corrias , Benoît Perthame , Hatem Zaag
The mechanism of the spatio-temporal pattern arising in reaction diffusion system, Oct 2004, Kyoto, Japan
Communication dans un congrès hal-02325804 v1
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Convergence of the Upwind Interface Source method for hyperbolic conservation laws

Benoît Perthame , Chiara Simeoni
Proceedings of the Ninth International Conference on Hyperbolic Problems, Mar 2002, CalTech, Pasadena, United States. pp.61-78, ⟨10.1007/978-3-642-55711-8_5⟩
Communication dans un congrès hal-00922680 v2

Modélisation des systèmes biologiques, bioinformatique

Olivier Gascuel , P. Benas , C. Brun , D. Burnouf , Alexandre de Brevern et al.
Rapport de conjoncture 2010 du Comité national de la recherche scientifique, CNRS Editions, chapitre 43, 845-858, 2011, 978-2-271-07263-4
Chapitre d'ouvrage hal-00799641 v1
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Traveling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities

Benoît Perthame , Christian Schmeiser , Min Tang , Nicolas Vauchelet
[Research Report] 2010
Rapport (rapport de recherche) inria-00522131 v1
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Modelling the spatial organization of cell proliferation in the developing central nervous system

Jean Clairambault , Vladimir Flores , Benoît Perthame , Melina Rapacioli , Edmundo Rofman et al.
[Research Report] 2010, pp.33
Rapport (rapport de recherche) inria-00476695 v1
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An age-and-cyclin-structured cell population model with proliferation and quiescence for healthy and tumoral tissues

Fadia Bekkal Brikci , Jean Clairambault , Benjamin Ribba , Benoît Perthame
[Research Report] RR-5941, INRIA. 2006
Rapport (rapport de recherche) inria-00081301 v2
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Uniqueness for a Scalar Conservation Law with Discontinuous Flux via Adapted Entropies

Emmanuel Audusse , Benoît Perthame
[Research Report] RR-5261, INRIA. 2004, pp.19
Rapport (rapport de recherche) inria-00070737 v1
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A mathematical model of the cell cycle and its control

Jean Clairambault , Béatrice Laroche , Stéphane Mischler , Benoît Perthame
[Research Report] RR-4892, INRIA. 2003
Rapport (rapport de recherche) inria-00071690 v1
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Un modèle multiéchelle de transport de colloïdes avec diffusion dégénérée anisotrope

Mohamed Belhadj , Jean-Frédéric Gerbeau , Benoît Perthame
[Rapport de recherche] RR-4468, INRIA. 2002
Rapport (rapport de recherche) inria-00072120 v1
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A new kinetic scheme for Saint-Venant equations applied to debris avalanches

A. Mangeney-Castelnau , J.P. Vilotte , Marie-Odile Bristeau , François Bouchut , Benoît Perthame et al.
[Research Report] RR-4646, INRIA. 2002
Rapport (rapport de recherche) inria-00071939 v1
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A consistent BGK-type model for gas mixtures

Pierre Andries , Kazuo Aoki , Benoît Perthame
[Research Report] RR-4230, INRIA. 2001
Rapport (rapport de recherche) inria-00072389 v1
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Kinetic Schemes for Saint-Venant Equations with Source Terms on Unstructured Grids

Emmanuel Audusse , Marie-Odile Bristeau , Benoît Perthame
[Research Report] RR-3989, INRIA. 2000
Rapport (rapport de recherche) inria-00072657 v1
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Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases

Pierre Andries , Jean-François Bourgat , Patrick Le Tallec , Benoît Perthame
[Research Report] RR-3872, INRIA. 2000
Rapport (rapport de recherche) inria-00072782 v1
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Schémas d'équilibre pour des lois de conservation scalaires avec des termes sources raides

Ramaz Botchorishvili , Benoît Perthame , Alexis Vasseur
[Rapport de recherche] RR-3891, INRIA. 2000
Rapport (rapport de recherche) inria-00072763 v1
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Derivation of Viscous Saint-Venant System for Laminar Shallow Water; Numerical Validation

Jean-Frédéric Gerbeau , Benoît Perthame
[Research Report] RR-4084, INRIA. 2000
Rapport (rapport de recherche) inria-00072549 v1
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The Gaussian-BGK Model of Boltzmann Equation with Small Prandtl Number

Pierre Andries , Patrick Le Tallec , Jean-Philippe Perlat , Benoît Perthame
[Research Report] RR-3716, INRIA. 1999
Rapport (rapport de recherche) inria-00072951 v1
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High Frequency Limit of the Helmholtz Equations

Jean-David Benamou , François Castella , Thodoros Katsaounis , Benoît Perthame
[Research Report] RR-3785, INRIA. 1999
Rapport (rapport de recherche) inria-00072875 v1
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Analyse asymptotique des équations de dérive-diffusion et équations de Hamilton-Jacobi

Philippe Montarnal , Benoît Perthame
[Rapport de recherche] RR-2885, INRIA. 1996
Rapport (rapport de recherche) inria-00073805 v1
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Introduction to the theory of random particle methods for Boltzmann equation

Benoît Perthame
[Research Report] RR-2218, INRIA. 1994
Rapport (rapport de recherche) inria-00074452 v1
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Coupling Boltzmann and Navier-Stokes

Jean-François Bourgat , Patrick Le Tallec , François Mallinger , Benoît Perthame , Youchoun Qiu
[Research Report] RR-2281, INRIA. 1994
Rapport (rapport de recherche) inria-00074390 v1
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Maximum principle on the entropy and minimal limitations for kinetic schemes

Brahim Khobalatte , Benoît Perthame
[Research Report] RR-1628, INRIA. 1992
Rapport (rapport de recherche) inria-00074933 v1
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A New variant of Van Leer's method for multidimensional systems of conservation laws

Benoît Perthame , Youchun Qiu
[Research Report] RR-1562, INRIA. 1991
Rapport (rapport de recherche) inria-00074999 v1