Cross-diffusion limits in multispecies kinetic models
Abstract
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.
Fields of Study & Subjects
Mathematical Biology Tumor Growth
Gas Dynamics and Kinetic Theory
Mathematical and Theoretical Epidemiology and Ecology Models
Publication details
- Journal / source
- Kinetic and Related Models
- Volume
- 23
- Issue
- 0
- Pages
- 69–90
- Publication date
- 1 January 2026
- Language
- EN