1 citations · 1 across the 1 of their papers we have counts for
Showing math.APShow all
2 papers · 1 filter
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…