Bérénice Grec

Publications

Chapitre d'ouvrage (2)

Numerical Study of the Higher-Order Maxwell-Stefan Model of Diffusion Bérénice Grec,Srboljub Simić Mathematical Models for Interacting Dynamics on Networks, Springer Nature Switzerland, pp.359-374, 2026, Trends in Mathematics, ⟨10.1007/978-3-032-02326-1_13⟩ Chapitre d'ouvrage hal-04648754v1
Compactness of linearized Boltzmann operators for polyatomic gases Niclas Bernhoff,Laurent Boudin,Milana Čolić,Bérénice Grec Mathematical Models for Interacting Dynamics on Networks, Springer Nature Switzerland, pp.85-120, 2026, Trends in Mathematics, ⟨10.1007/978-3-032-02326-1_2⟩ Chapitre d'ouvrage hal-04648146v1

Article dans une revue (29)

A conservative two-phase flow model with a nonlinear degenerate diffusion Gloria Faccanoni,Cédric Galusinski,Bérénice Grec Mathematical Modelling of Natural Phenomena, 2026, 21 (1), pp.1-34. ⟨10.1051/mmnp/2025031⟩ Article dans une revue hal-05021438v2
Unconditionally stable numerical scheme for the 2D transport equation Bérénice Grec,Davor Kumozec,Yohan Penel Computers & Mathematics with Applications, 2025, 182, pp.275-290. ⟨10.1016/j.camwa.2025.02.003⟩ Article dans une revue hal-04974335v1
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⟩ Article dans une revue hal-02506265v1
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⟩ Article dans une revue hal-03863134v2
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, 2023, 573, pp.111590. ⟨10.1016/j.jtbi.2023.111590⟩ Article dans une revue hal-03883301v2
Energy method for the Boltzmann equation of monatomic gaseous mixtures Laurent Boudin,Bérénice Grec,Milana Pavić-Čolić,Srboljub Simić Communications in Mathematical Sciences, 2023, 22 (1), pp.137-166. ⟨10.4310/CMS.2024.v22.n1.a6⟩ Article dans une revue hal-03376932v2
Higher-order Maxwell-Stefan model of diffusion Bérénice Grec,Srboljub Simic La Matematica, 2023, 2, pp.962-991. ⟨10.1007/s44007-023-00071-0⟩ Article dans une revue hal-04093419v1
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⟩ Article dans une revue hal-03140592v2
Fluid-kinetic modelling for respiratory aerosols with variable size and temperature Laurent Boudin,Céline Grandmont,Bérénice Grec,Sébastien Martin,Amina Mecherbetet al. ESAIM: Proceedings and Surveys, 2020, 67, pp.100-119. ⟨10.1051/proc/202067007⟩ Article dans une revue hal-02092574v1
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⟩ Article dans une revue hal-01924308v1
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⟩ Article dans une revue hal-01727725v1
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⟩ Article dans une revue hal-01111730v5
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⟩ Article dans une revue hal-01786824v2
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⟩ Article dans une revue hal-01566770v1
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⟩ Article dans une revue hal-01303312v1
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⟩ Article dans une revue hal-00554744v2
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⟩ Article dans une revue hal-00383732v2
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⟩ Article dans une revue hal-00942569v1
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⟩ Article dans une revue istex hal-00747616v2
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⟩ Article dans une revue hal-00704952v2
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⟩ Article dans une revue hal-00490511v1
Study of a low Mach nuclear core model for single-phase flows Manuel Bernard,Stéphane Dellacherie,Gloria Faccanoni,Bérénice Grec,Olivier Lafitteet al. ESAIM: Proceedings, 2012, 38, pp.118-134. ⟨10.1051/proc/201238007⟩ Article dans une revue hal-00662978v1
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⟩ Article dans une revue hal-00461635v1
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⟩ Article dans une revue hal-00455656v1
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⟩ Article dans une revue hal-00357858v2
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⟩ Article dans une revue hal-00340253v1
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⟩ Article dans une revue hal-00357943v1
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 Article dans une revue 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⟩ Article dans une revue istex hal-00777581v1

HDR (1)

Contributions to the modelling of multispecies or multiphasic fluid flows in asymptotic regimes: analysis and simulation Bérénice Grec Analysis of PDEs [math.AP]. Université Paris Cité, 2025 HDR tel-05156799v1

N°spécial de revue/special issue (1)

Workshop on low velocity flows: application to low Mach and low Froude regimes Stéphane Dellacherie,Gloria Faccanoni,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⟩ N°spécial de revue/special issue hal-03566883v1

Communication dans un congrès (3)

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⟩ Communication dans un congrès 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⟩ Communication dans un congrès istex 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⟩ Communication dans un congrès hal-00777708v1

Proceedings/Recueil des communications (1)

A kinetic model for polytropic gases with internal energy Laurent Boudin,Bérénice Grec,Milana Pavić-Čolić,Francesco Salvarani 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Mar 2013, Novi Sad, Serbia. PAMM, 13 (1), pp.353-354, 2013, ⟨10.1002/pamm.201310172⟩ Proceedings/Recueil des communications hal-05559373v1

Thèse (1)

Fluides complexes en films minces Bérénice Grec Mathématiques [math]. Ecole Centrale de Lyon, 2008. Français. ⟨NNT : ⟩ Thèse tel-00351462v1