55 citations · 598 across the 84 of their papers we have counts for
5 papers · 2 filters
On inverse problems for semiconductor equations
M. Burger, H. W. Engl, A. Leitão +1
This paper is devoted to the investigation of inverse problems related to stationary drift-diffusion equations modeling semiconductor devices. In this context we analyze several id…
Network structured kinetic models of social interactions
Martin Burger
The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics t…
Delayed Blow-Up for Chemotaxis Models with Local Sensing
Martin Burger, Philippe Laurençot, Ariane Trescases
The aim of this paper is to analyze a model for chemotaxis based on a local sensing mechanism instead of the gradient sensing mechanism used in the celebrated minimal Keller-Segel…
Coarse graining of a Fokker-Planck equation with excluded volume effects preserving the gradient-flow structure
Maria Bruna, Martin Burger, José Antonio Carrillo
The propagation of gradient flow structures from microscopic to macroscopic models is a topic of high current interest. In this paper we discuss this propagation in a model for the…
Structural analysis of an -infinity variational problem and relations to distance functions
Leon Bungert, Yury Korolev, Martin Burger
In this work we analyse the functional defined on Lipschitz functions with homogeneous Dirichlet boundary conditions. Our analysis is performed di…