3 papers
math.AP2019
The waiting time phenomenon in spatially discretized porous medium and thin film equations
Julian Fischer, Daniel Matthes
Various degenerate diffusion equations exhibit a waiting time phenomenon: Dependening on the "flatness" of the compactly supported initial datum at the boundary of the support, the…
math.AP2019
Discretization of Flux-Limited Gradient Flows: -convergence and numerical schemes
Daniel Matthes, Benjamin Söllner
We study a discretization in space and time for a class of nonlinear diffusion equations with flux limitation. That class contains the so-called relativistic heat equation, as well…
math.AP2016
Existence of solutions for a class of fourth order cross-diffusion systems of gradient flow type
Daniel Matthes, Jonathan Zinsl
This article is concerned with the existence and the long time behavior of weak solutions to certain coupled systems of fourth-order degenerate parabolic equations of gradient flow…