Boris Andreianov

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Publications

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Existence of solutions for a class of one-dimensional models of pedestrian evacuations

Boris Andreianov , Théo Girard

SIAM Journal on Mathematical Analysis, 2024, 56 (3), ⟨10.1137/23M1550256⟩

Article dans une revue hal-03937464v2
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Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions

Boris Andreianov , Abraham Sylla

Nonlinear Differential Equations and Applications, 2023, 30 (4), pp.53. ⟨10.1007/s00030-023-00857-9⟩

Article dans une revue hal-03873169v2
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Lack of controllability of the viscous Burgers equation.Part I: The L^∞ setting.

Boris Andreianov , Shyam Sundar Ghoshal , Konstantinos Koumatos

Journal of Evolution Equations, 2022, 22, pp.70. ⟨10.1007/s00028-022-00831-5⟩

Article dans une revue hal-02497181v3
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Existence analysis and numerical approximation for a second order model of traffic with orderliness marker

Boris Andreianov , Abraham Sylla

Mathematical Models and Methods in Applied Sciences, 2022, 32 (07), pp.1295-1348. ⟨10.1142/S0218202522500294⟩

Article dans une revue hal-03214129v3
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Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow

Boris Andreianov , Carlotta Donadello , Massimiliano D. Rosini

Nonlinear Differential Equations and Applications, 2021, 28, pp.article number 32. ⟨10.1007/s00030-021-00689-5⟩

Article dans une revue hal-02877276v2
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On classes of well-posedness for quasilinear diffusion equations in the whole space

Boris Andreianov , Mohamed Maliki

Discrete and Continuous Dynamical Systems - Series S, 2021, 14 (2), pp.505-531. ⟨10.3934/dcdss.2020361⟩

Article dans une revue hal-02328003v1
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A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs

Boris Andreianov , Clément Cancès , Ayman Moussa

Journal of Functional Analysis, 2017, 273 (12), pp.3633-3670. ⟨10.1016/j.jfa.2017.08.010⟩

Article dans une revue hal-01142499v1
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Well-posedness of general boundary-value problems for scalar conservation laws

Boris Andreianov , Karima Sbihi

Transactions AMS, 2015, 367 (6), pp. 3763-3806. ⟨10.1090/S0002-9947-2015-05988-1⟩

Article dans une revue hal-00708973v3
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Solvability analysis and numerical approximation of linearized cardiac electromechanics

Boris Andreianov , Mostafa Bendahmane , Alfio Quarteroni , Ricardo Ruiz-Baier

Mathematical Models and Methods in Applied Sciences, 2015, ⟨10.1142/S0218202515500244⟩

Article dans une revue hal-01256811v1
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On interface transmission conditions for conservation laws with discontinuous flux of general shape

Boris Andreianov , Clément Cancès

Journal of Hyperbolic Differential Equations, 2015, 12 (2), pp.343-384. ⟨10.1142/S0219891615500101⟩

Article dans une revue hal-00940756v2
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Entropy conditions for scalar conservation laws with discontinuous flux revisited

Boris Andreianov , Darko Mitrović

Ann. IHP Analyse Nonlinéaire, 2015, ⟨10.1016/j.anihpc.2014.08.002⟩

Article dans une revue hal-00978482v2
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On the attainable set for a class of triangular systems of conservation laws

Boris Andreianov , Carlotta Donadello , Shyam Sundar Ghoshal , Ulrich Razafison

Journal of Evolution Equations, 2015, 15 (3), pp. 503-532. ⟨10.1007/s00028-014-0267-x⟩

Article dans une revue hal-00967600v1
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A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rocks media

Boris Andreianov , Clément Cancès

Computational Geosciences, 2014, 18 (2), pp.211-226

Article dans une revue hal-00833522v1
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Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium

Boris Andreianov , Konstantin Brenner , Clément Cancès

Journal of Applied Mathematics and Mechanics, 2014, 94 (7-8), pp.651-667

Article dans une revue hal-00744359v1
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Crowd dynamics and conservation laws with non-local constraints and capacity drop

Boris Andreianov , Carlotta Donadello , Massimiliano D. Rosini

Mathematical Models and Methods in Applied Sciences, 2014, 24 (13), pp. 2685-2722. ⟨10.1142/S0218202514500341⟩

Article dans une revue hal-00816449v2
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Well-posedness for a one-dimensional fluid-particle interaction model

Boris Andreianov , Frédéric Lagoutière , Nicolas Seguin , Takéo Takahashi

SIAM Journal on Mathematical Analysis, 2014, 46 (2), ⟨10.1137/130907963⟩

Article dans une revue hal-00789315v1
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Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium

Boris Andreianov , Clément Cancès

Computational Geosciences, 2013, 17 (3), pp.551-572

Article dans une revue hal-00631584v2
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Entropy formulation of degenerate parabolic equation with zero-flux boundary condition

Boris Andreianov , Mohamed Karimou Gazibo

Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2013, 164 (5), pp. 1471-1491. ⟨10.1007/s00033-012-0297-6⟩

Article dans une revue hal-00697593v2
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On 3D DDFV discretization of gradient and divergence operators. II. Discrete functional analysis tools and applications to degenerate parabolic problems.

Boris Andreianov , Mostafa Bendahmane , Florence Hubert

Computational Methods in Applied Mathematics, 2013, 13 (4), pp. 369-410. ⟨10.1515/cmam-2013-0011⟩

Article dans une revue hal-00567342v3
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Preconditioning operators and $L^\infty$ attractor for a class of reaction-diffusion systems

Boris Andreianov , Halima Labani

Communications on Pure and Applied Analysis, 2012, 11 (6), pp. 2179-2199. ⟨10.3934/cpaa.2012.11.2179⟩

Article dans une revue hal-00522783v1
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On uniqueness techniques for degenerate convection-diffusion problems

Boris Andreianov , Noureddine Igbida

International journal of dynamical systems and differential equations, 2012, 4 (1/2), pp. 3-34. ⟨10.1504/IJDSDE.2012.045992⟩

Article dans une revue hal-00553819v1
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Convergence of approximate solutions to an elliptic-parabolic equation without the structure condition

Boris Andreianov , Petra Wittbold

Nonlinear Differential Equations and Applications, 2012, 19 (6), pp. 695-717. ⟨10.1007/s00030-011-0148-8⟩

Article dans une revue hal-00608521v1
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Finite volume approximation of degenerate two-phase flow model with unlimited air mobility

Boris Andreianov , Robert Eymard , Mustapha Ghilani , Nouzha Marhraoui

Numerical Methods for Partial Differential Equations, 2012, 29 (2), pp. 441-474. ⟨10.1002/num.21715⟩

Article dans une revue istex hal-00606955v1
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The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions

Boris Andreianov , Clément Cancès

Applied Mathematics Letters, 2012, 25, pp.1844--1848

Article dans une revue hal-00631586v2
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On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.

Boris Andreianov , Mostafa Bendahmane , Florence Hubert , Stella Krell

IMA Journal of Numerical Analysis, 2012, 32 (4), pp.1574-1603. ⟨10.1093/imanum/drr046⟩

Article dans une revue hal-00355212v3
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Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes [Well-posedness of a singular balance law]

Boris Andreianov , Nicolas Seguin

Discrete and Continuous Dynamical Systems - Series A, 2012, 32 (6), pp. 1939-1964. ⟨10.3934/dcds.2012.32.1939⟩

Article dans une revue hal-00576959v1

Finite volume methods for degenerate chemotaxis model

Boris Andreianov , Mostafa Bendahmane , Mazen Saad

Journal of Computational and Applied Mathematics, 2011, 235 (14), pp.4015 - 4031. ⟨10.1016/j.cam.2011.02.023⟩

Article dans une revue hal-01737856v1
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A theory of L^1-dissipative solvers for scalar conservation laws with discontinuous flux

Boris Andreianov , Kenneth Hvistendahl Karlsen , Nils Henrik Risebro

Archive for Rational Mechanics and Analysis, 2011, 201 (1), pp.27-86. ⟨10.1007/s00205-010-0389-4⟩

Article dans une revue hal-00475840v1
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Convergence of discrete duality finite volume schemes for the cardiac bidomain model

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen , Charles Pierre

Networks and Heterogeneous Media, 2011, In Press, pp.1-45

Article dans une revue hal-00526047v2
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Analysis of a finite volume method for a cross-diffusion model in population dynamics

Boris Andreianov , Mostafa Bendahmane , Ricardo Ruiz Baier

Mathematical Models and Methods in Applied Sciences, 2011, 21 (02), pp.307-344. ⟨10.1142/S0218202511005064⟩

Article dans une revue hal-00458737v2
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Structural stability for variable exponent elliptic problems. I. The $p(x)$-laplacian kind problems.

Boris Andreianov , Mostafa Bendahmane , Stanislas Ouaro

Nonlinear Analysis: Theory, Methods and Applications, 2010, 73 (1), pp.2-24. ⟨10.1016/j.na.2010.02.039⟩

Article dans une revue hal-00363284v3
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Non-uniqueness of weak solutions for the fractal Burgers equation

Nathael Alibaud , Boris Andreïanov

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2010, 27 (4), pp. 997-016. ⟨10.1016/j.anihpc.2010.01.008⟩

Article dans une revue hal-00405892v3

Renormalized solutions of the fractional Laplace equation

Nathael Alibaud , Boris Andreianov , Mostafa Bendahmane

Comptes Rendus. Mathématique, 2010, 348, pp. 759-762. ⟨10.1016/j.crma.2010.05.006⟩

Article dans une revue hal-01208279v1
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A note on uniqueness of entropy solutions to degenerate parabolic equations in $\mathbb{R}^N$.

Boris Andreianov , Mohamed Maliki

Nonlinear Differential Equations and Applications, 2010, 17 (1), pp. 109-118. ⟨10.1007/s00030-009-0042-9⟩

Article dans une revue hal-00378475v2
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Finite volume schemes for constrained conservation laws

Paola Goatin , Nicolas Seguin , Boris Andreianov

Numerische Mathematik, 2010, 115 (4), pp.609-645

Article dans une revue inria-00534872v1
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Finite volume schemes for locally constrained conservation laws

Boris Andreianov , Paola Goatin , Nicolas Seguin

Numerische Mathematik, 2010, 115 (4), pp. 609-645. ⟨10.1007/s00211-009-0286-7⟩

Article dans une revue hal-00387806v1

Small solids in an inviscid fluid

Boris Andreianov , Frédéric Lagoutière , Nicolas Seguin , Takéo Takahashi

Networks and Heterogeneous Media, 2010, 5 (3), pp.385-404. ⟨10.3934/nhm.2010.5.385⟩

Article dans une revue hal-00590617v1
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On vanishing viscosity approximation of conservation laws with discontinuous flux.

Boris Andreianov , Kenneth Hvistendahl Karlsen , Nils Henrik Risebro

Networks and Heterogeneous Media, 2010, 5 (3), pp.617-633. ⟨10.3934/nhm.2010.5.617⟩

Article dans une revue hal-00438203v1
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Structural stability for variable exponent elliptic problems. II. The $p(u)$-laplacian and coupled problems.

Boris Andreianov , Mostafa Bendahmane , Stanislas Ouaro

Nonlinear Analysis: Theory, Methods and Applications, 2010, 72 (12), pp. 4649-4660. ⟨10.1016/j.na.2010.02.044⟩

Article dans une revue hal-00402869v1

Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen

Journal of Hyperbolic Differential Equations, 2010, 7 (1), pp.1--67. ⟨10.1142/S0219891610002062⟩

Article dans une revue hal-00475752v1

Well-posedness results for triply nonlinear degenerate parabolic equations.

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen , Stanislas Ouaro

Journal of Differential Equations, 2009, 247 (1), pp.277-302. ⟨10.1016/j.jde.2009.03.001⟩

Article dans une revue hal-00475758v1

On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption.

Boris Andreianov , Karima Sbihi , Petra Wittbold

Journal of Evolution Equations, 2008, 8 (3), pp.449--490. ⟨10.1007/s00028-008-0365-8⟩

Article dans une revue istex hal-00475748v1
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Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D meshes

Boris Andreianov , Franck Boyer , Florence Hubert

Numerical Methods for Partial Differential Equations, 2007, 23, pp 145-195. ⟨10.1002/num.20170⟩

Article dans une revue hal-00005779v2

Uniqueness for inhomogeneous Dirichlet problem for elliptic-parabolic equations

Boris Andreianov , Noureddine Igbida

Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2007, 136 (6), pp.1119-1133. ⟨10.1017/S0308210505001290⟩

Article dans une revue istex hal-00475857v1

Scalar conservation laws with nonlinear boundary conditions

Boris Andreianov , Karima Sbihi

Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 345 (8), pp.431-434. ⟨10.1016/j.crma.2007.09.008⟩

Article dans une revue istex hal-00475852v1

On the finite-volume approximation of regular solutions of the $p$-Laplacian

Boris Andreianov , Franck Boyer , Florence Hubert

IMA Journal of Numerical Analysis, 2006, 26 (3), pp. 472-502. ⟨10.1093/imanum/dri047⟩

Article dans une revue istex hal-00475905v1

Revising uniqueness for a nonlinear diffusion-convection equation

Boris Andreianov , Noureddine Igbida

Journal of Differential Equations, 2006, 227 (1), pp.69-79. ⟨10.1016/j.jde.2005.09.003⟩

Article dans une revue istex hal-00475860v1
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Besov regularity and new error estimates for finite volume approximations of the p-laplacian

Boris Andreianov , Franck Boyer , Florence Hubert

Numerische Mathematik, 2005, 100 no 4, p. 565-592. ⟨10.1007/s00211-005-0591-8⟩

Article dans une revue hal-00004419v1
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Finite volume schemes for the p-laplacian on cartesian meshes

Boris Andreianov , Franck Boyer , Florence Hubert

ESAIM: Mathematical Modelling and Numerical Analysis, 2004, 38 no 6, pp 931-959. ⟨10.1051/m2an:2004045⟩

Article dans une revue hal-00004088v1
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Convergence of Finite Volume Approximations for a Nonlinear Elliptic-Parabolic Problem: a ""Continuous"" Approach.

Boris Andreianov , Michaël Gutnic , Petra Wittbold

SIAM Journal on Numerical Analysis, 2003, 42 (1), pp.228-251

Article dans une revue hal-00129680v1
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A macroscopic model to reproduce self-organization at bottlenecks

Boris Andreianov , Abraham Sylla

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 9, Bergen, Norway, June 2020, Jun 2020, Bergen, Norway. pp.243-254, ⟨10.1007/978-3-030-43651-3_21⟩

Communication dans un congrès hal-02526538v1
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Riemann problems with non--local point constraints and capacity drop

Boris Andreianov , Carlotta Donadello , Ulrich Razafison , Massimiliano D. Rosini

Modeling with Measures, Aug 2013, Leiden, Netherlands. pp. 259-278, ⟨10.3934/mbe.2015.12.259⟩

Communication dans un congrès hal-00959974v1
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NEW APPROACHES TO DESCRIBING ADMISSIBILITY OF SOLUTIONS OF SCALAR CONSERVATION LAWS WITH DISCONTINUOUS FLUX

Boris Andreianov

CANUM 2014, Mar 2014, Carry-le-Rouet, France. pp.40-65, ⟨10.1051/proc/201550003⟩

Communication dans un congrès hal-01109040v1
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One-dimensional conservation law with boundary conditions: general results and spatially inhomogeneous case

Boris Andreianov

HYP2012 conference in Padova, Jun 2012, Padua, Italy. pp. 259-267

Communication dans un congrès hal-00761664v2
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Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition

Boris Andreïanov , Mohamed Karimou Gazibo

Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany. pp. 303-311, ⟨10.1007/978-3-319-05684-5_29⟩

Communication dans un congrès hal-00950142v2
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On Intrinsic Formulation and Well-posedness of a Singular Limit of Two-phase Flow Equations in Porous Media

Boris Andreianov , Robert Eymard , Mustapha Ghilani , Nouzha Marhraoui

Eleventh International Conference Zaragoza–Pau on Applied Mathematics and Statistics, Sep 2010, Jaca, Spain. pp. 21-34

Communication dans un congrès hal-00606948v2
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Dissipative interface coupling of conservation laws

Boris Andreianov

HYP2010 conference in Beijing, Jun 2010, Beijing, China. pp.123-135

Communication dans un congrès hal-00761662v1
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Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes

Boris Andreianov , Florence Hubert , Stella Krell

Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp.937-948, ⟨10.1007/978-3-642-20671-9_91⟩

Communication dans un congrès hal-00572732v1
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Time compactness tools for discretized evolution equations and applications to degenerate parabolic PDEs

Boris Andreianov

Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp. 21-29, ⟨10.1007/978-3-642-20671-9_3⟩

Communication dans un congrès istex hal-00561344v2

A gradient reconstruction formula for nite volume schemes and discrete duality

Mostafa Bendahmane , Boris Andreianov , Kenneth H. Karlsen

Finite volumes for complex applications, 2008, France. pp.161-168

Communication dans un congrès hal-01015913v1

Strong boundary traces and well-posedness for scalar conservation laws with dissipative boundary conditions

Boris Andreianov , Karima Sbihi

11th international conference on hyperbolic problems, Jul 2006, Lyon, France. pp.937-945

Communication dans un congrès hal-00475870v1

A gradient reconstruction formula for finite volume schemes and discrete duality

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen

Finite volumes for complex applications V, Jun 2008, Aussois, France. pp. 161-168

Communication dans un congrès hal-00475877v1

Discrete Besov framework for finite volume approximation of the $p$-Laplacian on non-uniform Cartesian grids

Boris Andreianov , Franck Boyer , Florence Hubert

Paris-sud working group on modelling and scientific computing 2006-2007, 2006, Orsay, France. pp.1-10

Communication dans un congrès hal-00475892v1
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The mathematical theory of Hughes' model : a survey of results

Debora Amadori , Boris Andreianov , Marco Di Francesco , Simone Fagioli , Théo Girard et al.

Crowd Dynamics, Volume 4 : Analytics and Human Factors in Crowd Modeling, Springer, 2023, Modeling and Simulation in Science, Engineering and Technology, 978-3-031-46358-7

Chapitre d'ouvrage hal-04087181v1
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Semigroup approach to conservation laws with discontinuous flux

Boris Andreianov

G.-Q. Chen, H. Holden and K.H. Karlsen. Springer Proceedings in Mathematics & Statistics Vol.49, 49, Springer, pp. 1-22, 2013, Hyperbolic Conservation Laws and Related Analysis with Applications, 978-3-642-39006-7. ⟨10.1007/978-3-642-39007-4_1⟩

Chapitre d'ouvrage hal-00698581v2
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On stability of one-dimensional Hughes' dynamics with affine costs

Boris Andreianov , Simone Fagioli , Massimiliano D. Rosini , Graziano Stivaletta

2025

Pré-publication, Document de travail hal-04988530v1
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CONSERVATION LAWS ON A STAR-SHAPED GRAPH UNDER GENERALIZED KEDEM-KATCHALSKY NODE TRANSMISSION CONDITIONS

Boris Andreianov , Giuseppe Maria Coclite , Carlotta Donadello

2025

Pré-publication, Document de travail hal-05065168v2
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Uniqueness of entropy solutions to fractional conservation laws with "fully infinite" speed of propagation

B Andreianov , M Brassart

2019

Pré-publication, Document de travail hal-02190753v3
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NONLOCAL DISSIPATION MEASURE AND L 1 KINETIC THEORY FOR FRACTIONAL CONSERVATION LAWS

Nathaël Alibaud , Boris Andreianov , Adama Ouedraogo

2019

Pré-publication, Document de travail hal-02320423v1
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Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic

Boris Andreianov , Massimiliano D. Rosini

2019

Pré-publication, Document de travail hal-02197482v2
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WELL-POSEDNESS FOR A MONOTONE SOLVER FOR TRAFFIC JUNCTIONS

Boris Andreianov , Guiseppe Maria Coclite , Carlotta Donadello

2016

Pré-publication, Document de travail hal-01312742v1
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Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux

Boris Andreianov , Carlotta D Donadello , Ulrich Razafison , Massimiliano D Rosini

2016

Pré-publication, Document de travail hal-01418272v2
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On the attainable set for a scalar nonconvex conservation law

Boris Andreianov , Carlotta Donadello , Andrea Marson

2016

Pré-publication, Document de travail hal-01346993v1
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Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks

Boris Andreianov , Carlotta Donadello , Ulrich Razafison , Massimiliano D. Rosini

2015

Pré-publication, Document de travail hal-01121965v2
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Solutions of the Aw-Rascle-Zhang system with point constraints

Boris Andreianov , Carlotta Donadello , Ulrich Razafison , Julien Yves Rolland , Massimiliano D. Rosini

2015

Pré-publication, Document de travail hal-01191596v1
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A second order model for vehicular traffics with local point constraints on the flow

B Andreianov , Carlotta Donadello , Massimiliano D. Rosini

2015

Pré-publication, Document de travail hal-01146116v1
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Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws

Boris Andreianov , Mohamed Karimou Gazibo

2015

Pré-publication, Document de travail hal-01152481v2
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Solutions processus intégrales des équations d'évolution abstraites et application à l'approximation numérique d'un problème parabolique dégénéré. [ Integral-process solutions of abstract evolution equations and application to numerical approximation of a degenerate parabolic boundary-value problem. ]

Boris Andreianov , Mohamed Karimou Gazibo

2013

Pré-publication, Document de travail hal-00857478v1