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Bérénice Grec

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An integro-differential equation for 1D cell migration

Christèle Etchegaray , Bérénice Grec , Bertrand Maury , Nicolas Meunier , Laurent Navoret
Integral Methods in Science and Engineering (IMSE), 2014, Karlsruhe, Germany. pp.195-207, ⟨10.1007/978-3-319-16727-5⟩
Conference papers hal-01083510v1

A New Model of Diphasic Fluids in Thin Films

Guy Bayada , Laurent Chupin , Bérénice Grec
International Conference on Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the occasion of his 60th birthday, 2007, Portugal. pp.25-35, ⟨10.1007/978-3-642-04068-9_2⟩
Conference papers hal-00777573v1

The model-problem associated to the Stefan problem with surface tension: an approach via Fourier-Laplace multipliers

Matthias Geissert , Bérénice Grec , Matthias Hieber , Evgeniy Radkevich
Differential equations: inverse and direct problems, 2004, -, Italy. pp.171-182, ⟨10.1201/9781420011135.ch10⟩
Conference papers hal-00777708v1
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Higher-order Maxwell-Stefan model of diffusion

Bérénice Grec , Srboljub Simic
La Matematica, inPress, ⟨10.1007/s44007-023-00071-0⟩
Journal articles hal-04093419v1
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Energy method for the Boltzmann equation of monatomic gaseous mixtures

Laurent Boudin , Bérénice Grec , Milana Pavić-Čolić , Srboljub Simić
Communications in Mathematical Sciences, In press, 22 (1), pp.137-166. ⟨10.4310/CMS.2024.v22.n1.a6⟩
Journal articles hal-03376932v2
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Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling

Marc Briant , Bérénice Grec
Asymptotic Analysis, 2023, pp.1-26. ⟨10.3233/ASY-231847⟩
Journal articles hal-02506265v1
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Comparison of several complete cubic laws for two-phase flow models

Gloria Faccanoni , Bérénice Grec
ESAIM: Proceedings and Surveys, 2023, Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics, 72, pp.117-142. ⟨10.1051/proc/202372117⟩
Journal articles hal-03863134v2
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A coupled model for the dynamics of gas exchanges in the human lung with Haldane and Bohr's effects

Laurent Boudin , Céline Grandmont , Bérénice Grec , Sébastien Martin
Journal of Theoretical Biology, In press, pp.111590. ⟨10.1016/j.jtbi.2023.111590⟩
Journal articles hal-03883301v2
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A homogeneous relaxation low Mach number model

Gloria Faccanoni , Bérénice Grec , Yohan Penel
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (4), pp.1569 - 1598. ⟨10.1051/m2an/2021032⟩
Journal articles hal-03140592v2
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Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions

Andrea Bondesan , Laurent Boudin , Marc Briant , Bérénice Grec
Communications on Pure and Applied Analysis, 2020, 19 (5), pp.2549-2573. ⟨10.3934/cpaa.2020112⟩
Journal articles hal-01924308v1
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Fluid-kinetic modelling for respiratory aerosols with variable size and temperature

Laurent Boudin , Céline Grandmont , Bérénice Grec , Sébastien Martin , Amina Mecherbet
ESAIM: Proceedings and Surveys, 2020, 67, pp.100-119. ⟨10.1051/proc/202067007⟩
Journal articles hal-02092574v1
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Diffusion models for mixtures using a stiff dissipative hyperbolic formalism

Laurent Boudin , Bérénice Grec , Vincent Pavan
Journal of Hyperbolic Differential Equations, 2019, 16 (2), pp.293--312. ⟨10.1142/S0219891619500115⟩
Journal articles hal-01786824v2
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Accurate steam-water equation of state for two-phase flow LMNC model with phase transition

Stéphane Dellacherie , Gloria Faccanoni , Bérénice Grec , Yohan Penel
Applied Mathematical Modelling, 2019, 65, pp.207-233. ⟨10.1016/j.apm.2018.07.028⟩
Journal articles hal-01111730v5
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A numerical scheme for a kinetic model for mixtures in the diffusive limit using the moment method

Andrea Bondesan , Laurent Boudin , Bérénice Grec
Numerical Methods for Partial Differential Equations, 2019, 35 (3), pp.1184-1205. ⟨10.1002/num.22345⟩
Journal articles hal-01727725v1
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A 1D model of leukocyte adhesion coupling bond dynamics with blood velocity

Bérénice Grec , Bertrand Maury , Nicolas Meunier , Laurent Navoret
Journal of Theoretical Biology, 2018, 452, pp.35-46. ⟨10.1016/j.jtbi.2018.02.021⟩
Journal articles hal-01566770v1
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The Maxwell-Stefan diffusion limit for a kinetic model of mixtures with general cross sections

Laurent Boudin , Bérénice Grec , Vincent Pavan
Nonlinear Analysis: Theory, Methods and Applications, 2017, 159, pp.40-61. ⟨10.1016/j.na.2017.01.010⟩
Journal articles hal-01303312v1
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The Maxwell-Stefan diffusion limit for a kinetic model of mixtures

Laurent Boudin , Bérénice Grec , Francesco Salvarani
Acta Applicandae Mathematicae, 2015, 136 (1), pp.79-90. ⟨10.1007/s10440-014-9886-z⟩
Journal articles hal-00554744v2
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Some theoretical results concerning diphasic fluids in thin films

Guy Bayada , Laurent Chupin , Bérénice Grec
Nonlinear Analysis: Theory, Methods and Applications, 2015, 116, pp.153-179. ⟨10.1016/j.na.2014.12.020⟩
Journal articles hal-00383732v2
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Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law

Manuel Bernard , Stéphane Dellacherie , Gloria Faccanoni , Bérénice Grec , Yohan Penel
ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48, pp.1639-1679. ⟨10.1051/m2an/2014015⟩
Journal articles hal-00747616v2
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2D numerical simulation of a low Mach nuclear core model with stiffened gas using FreeFem++

Stéphane Dellacherie , Gloria Faccanoni , Bérénice Grec , Ethem Nayir , Yohan Penel
ESAIM: Proceedings, 2014, 45, pp.138-147. ⟨10.1051/proc/201445014⟩
Journal articles hal-00942569v1
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Diffusion asymptotics of a kinetic model for gaseous mixtures

Laurent Boudin , Bérénice Grec , Milana Pavic , Francesco Salvarani
Kinetic and Related Models , 2013, 6 (1), pp.137-157. ⟨10.3934/krm.2013.6.137⟩
Journal articles hal-00704952v2
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A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations

Laurent Boudin , Bérénice Grec , Francesco Salvarani
Discrete and Continuous Dynamical Systems - Series B, 2012, 17 (5), pp.1427-1440. ⟨10.3934/dcdsb.2012.17.1427⟩
Journal articles hal-00490511v1
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Study of a low Mach nuclear core model for single-phase flows

Manuel Bernard , Stéphane Dellacherie , Gloria Faccanoni , Bérénice Grec , Olivier Lafitte
ESAIM: Proceedings, 2012, 38, pp.118-134. ⟨10.1051/proc/201238007⟩
Journal articles hal-00662978v1
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Steady state solutions for a lubrication two-fluid flow

Laurent Chupin , Bérénice Grec
European Journal of Applied Mathematics, 2011, 22, pp.581-612. ⟨10.1017/S095679251100026X⟩
Journal articles hal-00461635v1
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Influence of the spray retroaction on the airflow

Laurent Boudin , Céline Grandmont , Bérénice Grec , Driss Yakoubi
ESAIM: Proceedings, 2010, 30, pp.153-165. ⟨10.1051/proc/2010012⟩
Journal articles hal-00357858v2
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Diffusion models of multicomponent mixtures in the lung

Laurent Boudin , Dario Götz , Bérénice Grec
ESAIM: Proceedings, 2010, 30, pp.91-104. ⟨10.1051/proc/2010008⟩
Journal articles hal-00455656v1
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Viscoelastic fluids in thin domains: a mathematical proof

Guy Bayada , Laurent Chupin , Bérénice Grec
Asymptotic Analysis, 2009, 64 (3-4), pp.185-211. ⟨10.3233/ASY-2009-0940⟩
Journal articles hal-00340253v1
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Numerical method for the 2D simulation of the respiration

Anne Devys , Céline Grandmont , Bérénice Grec , Bertrand Maury , Driss Yakoubi
ESAIM: Proceedings, 2009, 28, pp.162-181. ⟨10.1051/proc/2009045⟩
Journal articles hal-00357943v1
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An unconditional existence result for elastohydrodynamic piezoviscous lubrication problems with Elrod-Adams model of cavitation

Guy Bayada , Laurent Chupin , Bérénice Grec
Differential and integral equations, 2008, 21 (1-2), pp.41-62
Journal articles hal-00777512v1

Newton's polygon method and the local solvability of free boundary problems

Bérénice Grec , Evgeniy Radkevich
Journal of Mathematical Sciences, 2007, 143 (4), pp.3253-3292. ⟨10.1007/s10958-007-0208-0⟩
Journal articles hal-00777581v1
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Fluides complexes en films minces

Bérénice Grec
Mathématiques [math]. Ecole Centrale de Lyon, 2008. Français. ⟨NNT : ⟩
Theses tel-00351462v1

Workshop on low velocity flows: application to low Mach and low Froude regimes

Gloria Faccanoni , Stéphane Dellacherie , Bérénice Grec , Frédéric Lagoutière , Yohan Penel
ESAIM: Proceedings and Surveys, 58, pp.I-II, 2017, LMLFN 2015 – Low Velocity Flows – Application to Low Mach and Low Froude regimes, ⟨10.1051/proc/201758000⟩
Special issue hal-03566883v1