Stability of the Maxwell-Stefan system in the diffusion asymptotics of the Boltzmann multi-species equation

DOI10.1007/s00220-021-03976-5zbMath1461.76393arXiv1910.08357OpenAlexW3128755744MaRDI QIDQ2662088

Andrea Bondesan, Marc Briant

Publication date: 8 April 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.08357

zbMATH Keywords

Cauchy problemtorusSobolev normhard-potential collision kernelhypercoercive formalism

Mathematics Subject Classification ID

Diffusion (76R50) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (4)

Perturbative Cauchy theory for a flux-incompressible Maxwell-Stefan system ⋮ Maximum entropy principle approach to a non-isothermal Maxwell-Stefan diffusion model ⋮ Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations

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