15 citations · 17 across the 3 of their papers we have counts for
3 papers
Strong solutions and weak-strong stability in a system of cross-diffusion equations
Judith Berendsen, Martin Burger, Virginie Ehrlacher +1
Proving the uniqueness of solutions to multi-species cross-diffusion systems is a difficult task in the general case, and there exist very few results in this direction. In this wo…
On the asymptotic behaviour of nonlocal perimeters
Judith Berendsen, Valerio Pagliari
We study a class of integral functionals known as nonlocal perimeters, which, intuitively, express a weighted interaction between a set and its complement. The weight is provided b…
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…