期刊
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
卷 42, 期 6, 页码 2842-2871出版社
SIAM PUBLICATIONS
DOI: 10.1137/100783674
关键词
diffusion; size exclusion; cross-diffusion; ion channels; large-time behavior
资金
- Volkswagen Stiftung
- German Science Foundation DFG [DFG BU 3227/2-1]
- KAUST Investigator Award
- Italian MIUR
- Leverhulme Trust
The aim of this paper is to investigate the mathematical properties of a continuum model for diffusion of multiple species incorporating size exclusion effects. The system for two species leads to nonlinear cross-diffusion terms with double degeneracy, which creates significant novel challenges in the analysis of the system. We prove global existence of weak solutions and well-posedness of strong solutions close to equilibrium. We further study some asymptotics of the model, and in particular we characterize the large-time behavior of solutions.
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