1 citations · 1 across the 1 of their papers we have counts for
3 papers
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…
math.AP2019★ 1 cited
Stability of the Maxwell-Stefan system in the diffusion asymptotics of the Boltzmann multi-species equation
Andrea Bondesan, Marc Briant
We investigate the diffusion asymptotics of the Boltzmann equation for gaseous mixtures, in the perturbative regime around a local Maxwellian vector whose fluid quantities solve a…
math-ph2018
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…