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CROSS-DIFFUSION LIMITS IN MULTISPECIES KINETIC MODELS
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DOI：10.3934/krm.2026014.png)
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Abstract
En 中文
Cross-diffusion systems are formally derived from multispecies kinetic models in the diffusion limit. The first limit in the multispecies BGK model of Gross and Krook leads to a variant of the non-isothermal Maxwell-Stefan equations. The second limit in a BGK model with Brinkman-type force term yields generalized Busenberg-Travis equations, which reduce for constant temperature to the classical Busenberg-Travis system for segregating population species. Entropy equalities are derived for the kinetic and cross-diffusion equations.
Keywords:
Kinetic theory
Chapman-Enskog expansion
BGK model
Maxwell-Stefan equations
Busenberg-Travis equations
entropy inequality
Journal
K
IF:
1.5
Papers:
11
Citations:
0