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math.AP2024
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…
math.AP2024
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…
math.AP2020
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…