Nonlinear Cross-Di usion with Size Exclusion
نویسندگان
چکیده
The aim of this paper is to investigate the mathematical properties of a continuum model for di usion of multiple species incorporating size exclusion e ects. The system for two species leads to nonlinear cross-di usion terms with double degeneracy, which creates signi cant 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, in particular we characterize the large-time behaviour of solutions.
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