On multi-species diffusion with size exclusion

Hopf K, Burger M (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Nonlinear Analysis - Theory Methods & Applications Elsevier

Book Volume: 224

DOI: 10.1016/j.na.2022.113092

Abstract

We revisit a classical continuum model for the diffusion of multiple species with size-exclusion constraint, which leads to a degenerate nonlinear cross-diffusion system. The purpose of this article is twofold: first, it aims at a systematic study of the question of existence of weak solutions and their long-time asymptotic behaviour. Second, it provides a weak-strong stability estimate for a wide range of coefficients, which had been missing so far.

Authors with CRIS profile

Martin Burger Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) - Leibniz-Institut im Forschungsverbund Berlin e. V. DE Germany (DE)

How to cite

APA:

Hopf, K., & Burger, M. (2022). On multi-species diffusion with size exclusion. Nonlinear Analysis - Theory Methods & Applications, 224. https://dx.doi.org/10.1016/j.na.2022.113092

MLA:

Hopf, Katharina, and Martin Burger. "On multi-species diffusion with size exclusion." Nonlinear Analysis - Theory Methods & Applications 224 (2022).

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