55 citations · 598 across the 84 of their papers we have counts for
4 papers · 2 filters
Lane formation by side-stepping
Martin Burger, Sabine Hittmeir, Helene Ranetbauer +1
In this paper we study a system of nonlinear partial differential equations, which describes the evolution of two pedestrian groups moving in opposite direction. The pedestrian dyn…
Second-order edge-penalization in the Ambrosio-Tortorelli functional
Martin Burger, Teresa Esposito, Caterina Zeppieri
We propose and study two variants of the Ambrosio-Tortorelli functional where the first-order penalization of the edge variable is replaced by a second-order term depending on…
On a Boltzmann mean field model for knowledge growth
Martin Burger, Alexander Lorz, Marie-Therese Wolfram
In this paper we analyze a Boltzmann type mean field game model for knowledge growth, which was proposed by Lucas and Moll. We discuss the underlying mathematical model, which cons…
Flow Characteristics in a Crowded Transport Model
Martin Burger, Jan-Frederik Pietschmann
The aim of this paper is to discuss the appropriate modelling of in- and outflow boundary conditions for nonlinear drift-diffusion models for the transport of particles including s…