19 citations · 41 across the 10 of their papers we have counts for
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math.AP2016
On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion
Judith Berendsen, Martin Burger, Jan-Frederik Pietschmann
The aim of this paper is to study a PDE model for two diffusing species interacting by local size exclusion and global attraction. This leads to a nonlinear degenerate cross-diffus…
math.AP2016★ 19 cited
Cross-diffusion systems with excluded volume effects and asymptotic gradient flows
Maria Bruna, Martin Burger, Helene Ranetbauer +1
In this paper we discuss the analysis of a cross-diffusion PDE system for a mixture of hard spheres, which was derived by Bruna and Chapman from a stochastic system of interacting…