Nonlinear cross-diffusion with size exclusion
Burger M, Di Francesco M, Pietschmann JF, Schlake B (2010)
Publication Type: Journal article
Publication year: 2010
Journal
Book Volume: 42
Pages Range: 2842-2871
Issue: 6
DOI: 10.1137/100783674
Abstract
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 with CRIS profile
Involved external institutions
University of L'Aquila / Università degli Studi dell'Aquila
Italy (IT)
Westfälische Wilhelms-Universität (WWU) Münster
Germany (DE)
University of Cambridge
United Kingdom (GB)
Italy (IT)
Westfälische Wilhelms-Universität (WWU) Münster
Germany (DE)
University of Cambridge
United Kingdom (GB)
How to cite
APA:
Burger, M., Di Francesco, M., Pietschmann, J.-F., & Schlake, B. (2010). Nonlinear cross-diffusion with size exclusion. SIAM Journal on Mathematical Analysis, 42, 2842-2871. https://dx.doi.org/10.1137/100783674
MLA:
Burger, Martin, et al. "Nonlinear cross-diffusion with size exclusion." SIAM Journal on Mathematical Analysis 42 (2010): 2842-2871.
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