Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 42, Issue 6, Pages 2842-2871Publisher
SIAM PUBLICATIONS
DOI: 10.1137/100783674
Keywords
diffusion; size exclusion; cross-diffusion; ion channels; large-time behavior
Categories
Funding
- Volkswagen Stiftung
- German Science Foundation DFG [DFG BU 3227/2-1]
- KAUST Investigator Award
- Italian MIUR
- Leverhulme Trust
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available