26 citations · 38 across the 17 of their papers we have counts for
4 papers · 2 filters
Segregation and Gap Formation in Cross-Diffusion Models
M. Burger, J. A. Carrillo, J. -F. Pietschmann +1
In this paper we analyse a class of nonlinear cross-diffusion systems for two species with local repulsive interactions that exhibit a formal gradient flow structure with respect t…
Asymptotic Profiles of Nonlinear Homogeneous Evolution Equations of Gradient Flow Type
Leon Bungert, Martin Burger
This work is concerned with the gradient flow of absolutely -homogeneous convex functionals on a Hilbert space, which we show to exhibit finite () or infinite extinction ti…
A PDE model for bleb formation and interaction with linker proteins
Philipp Werner, Martin Burger, Jan-Frederik Pietschmann
The aim of this paper is to further develop mathematical models for bleb formation in cells, including cell-membrane interactions with linker proteins. This leads to nonlinear reac…
On a Class of Singularly Perturbed Elliptic Systems with Asymptotic Phase Segregation
Farid Bozorgnia, Martin Burger
This work is devoted to study of a class of elliptic singular perturbed systems and their singular limit to a phase segregating system. We prove existence and uniqueness and study…