1 citations · 1 across the 4 of their papers we have counts for
7 papers
Numerical Study of the Higher-Order Maxwell-Stefan Model of Diffusion
Bérénice Grec, Srboljub Simic
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 into account the influen…
Compactness of linearized Boltzmann operators for polyatomic gases
Niclas Bernhoff, Laurent Boudin, Milana Čolić +1
In this article, we recall various existing kinetic models of non-reactive polyatomic gases. We also review the results, all recently obtained, about the compactness of the associa…
Higher-order Maxwell-Stefan model of diffusion
Bérénice Grec, Srboljub Simic
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, which include viscous…
Energy method for the Boltzmann equation of monatomic gaseous mixtures
Laurent Boudin, Bérénice Grec, Milana Pavić-Čolić +1
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 precisely, the pertu…
Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling
Marc Briant, Bérénice Grec
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 spaces. To this end, we f…
Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions
Andrea Bondesan, Laurent Boudin, Marc Briant +1
We consider the Boltzmann operator for mixtures with cutoff Maxwellian, hard potentials, or hard spheres collision kernels. In a perturbative regime around the global Maxwellian eq…
Viscoelastic fluids in thin domains: a mathematical proof
Guy Bayada, Laurent Chupin, Bérénice Grec
The present paper deals with non Newtonian viscoelastic flows of Oldroyd-B tye in thin domains. Such geometries arise for example in the context of lubrication. More precisely, we…