Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling

DOI10.3233/asy-231847zbMath1528.35082arXiv2003.07891OpenAlexW3012368694MaRDI QIDQ6070619

Bérénice Grec, Marc Briant

Publication date: 23 November 2023

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07891

zbMATH Keywords

hydrodynamical limitperturbative theoryKnudsen numberFick's equationmultispecies Boltzmann equationgaseous and fluid mixture

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion processes (60J60) Perturbations in context of PDEs (35B20) Liquid-gas two-phase flows, bubbly flows (76T10) Boltzmann equations (35Q20)

Related Items (1)

Higher-order Maxwell-Stefan model of diffusion

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