Search Results - "Grec, Bérénice"
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The Maxwell–Stefan diffusion limit for a kinetic model of mixtures with general cross sections
Published in Nonlinear analysis (01-08-2017)“…In this article, we derive the Maxwell–Stefan formalism from the Boltzmann equation for mixtures for general cross-sections. The derivation uses the Hilbert…”
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2
A coupled model for the dynamics of gas exchanges in the human lung with Haldane and Bohr’s effects
Published in Journal of theoretical biology (21-09-2023)“…We propose an integrated dynamical model for oxygen and carbon dioxide transfer from the lung into the blood, coupled with a lumped mechanical model for the…”
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3
A numerical scheme for a kinetic model for mixtures in the diffusive limit using the moment method
Published in Numerical methods for partial differential equations (01-05-2019)“…In this article, we consider a multi‐species kinetic model which leads to the Maxwell–Stefan equations under a standard diffusive scaling (small Knudsen and…”
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4
The Maxwell-Stefan Diffusion Limit for a Kinetic Model of Mixtures
Published in Acta applicandae mathematicae (01-04-2015)“…We consider the non-reactive elastic Boltzmann equation for multicomponent gaseous mixtures. We deduce, under the standard diffusive scaling, that well…”
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5
A 1D model of leukocyte adhesion coupling bond dynamics with blood velocity
Published in Journal of theoretical biology (07-09-2018)“…Cell adhesion on the vascular wall is a highly coupled process where blood flow and adhesion dynamics are closely linked. Cell dynamics in the vicinity of the…”
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6
Comparison of several complete cubic laws for two-phase flow models
Published in ESAIM. Proceedings and surveys (2023)“…In the present paper, we investigate several cubic equations of state widely used in the literature, for which we are able to construct analytically the…”
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7
Accurate steam-water equation of state for two-phase flow LMNC model with phase transition
Published in Applied Mathematical Modelling (01-01-2019)“…This paper is concerned with the design of incomplete equations of state for a two-phase flow with phase transition that are specific to the low Mach number…”
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Fluid-kinetic modelling for respiratory aerosols with variable size and temperature
Published in ESAIM. Proceedings and surveys (2020)“…In this paper, we propose a coupled fluid-kinetic model taking into account the radius growth of aerosol particles due to humidity in the respiratory system…”
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9
Workshop on low velocity flows: application to low Mach and low Froude regimes
Published in ESAIM. Proceedings and surveys (2017)“…Workshop on low velocity flows: contributions…”
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10
2D Numerical simulation of a low mach nuclear core model with stiffened gas using freefem
Published in ESAIM. Proceedings and surveys (01-09-2014)“…We investigate a simplified model describing the evolution of the coolant within a nuclear reactor core (e.g.of PWR type). This model is named Lmnc (for Low…”
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11
Some theoretical results concerning diphasic fluids in thin films
Published in Nonlinear analysis (2015)“…We are interested in a model for diphasic fluids in thin flows taking into account both the hydrodynamical and the chemical effects at the interface between…”
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12
Numerical Study of the Higher-Order Maxwell-Stefan Model of Diffusion
Published 17-07-2024“…The aim of the study is to compare the standard Maxwell-Stefan model of diffusion with the higher-order one recently derived. This higher-order model takes…”
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13
Editorial: Workshop “New Trends in Complex Flows”
Published in ESAIM. Proceedings and surveys (01-01-2024)Get full text
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14
Higher-order Maxwell-Stefan model of diffusion
Published 15-05-2023“…The paper studies a higher-order diffusion model of Maxwell-Stefan kind. The model is based upon higher-order moment equations of kinetic theory of mixtures,…”
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15
Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling
Published 17-03-2020“…We present the arising of the Fick cross-diffusion system of equations for fluid mixtures from the multi-species Boltzmann in a rigorous manner in Sobolev…”
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16
Compactness of linearized Boltzmann operators for polyatomic gases
Published 16-07-2024“…In this article, we recall various existing kinetic models of non-reactive polyatomic gases. We also review the results, all recently obtained, about the…”
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A kinetic model for polytropic gases with internal energy
Published in Proceedings in applied mathematics and mechanics (01-12-2013)“…We consider a mixture of N ideal, polytropic gases. Each species is described by a distribution function fi(t, x, v, I) ≥ 0, 1 ≤ i ≤ N, defined on ${\rm…”
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18
Energy method for the Boltzmann equation of monatomic gaseous mixtures
Published 14-10-2021“…In this paper, we present an energy method for the system of Boltzmann equations in the multicomponent mixture case, based on a micro-macro decomposition. More…”
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19
Newton’s polygon method and the local solvability of free boundary problems
Published in Journal of mathematical sciences (New York, N.Y.) (01-06-2007)“…For some qualitatively new problems with free (unknown) boundary, conditions of local solvability (with respect to time) are investigated…”
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20
Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions
Published 20-11-2018“…We consider the Boltzmann operator for mixtures with cutoff Maxwellian, hard potentials, or hard spheres collision kernels. In a perturbative regime around the…”
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