70 citations · 433 across the 44 of their papers we have counts for
5 papers · 1 filter
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…
Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models
Christoph Koutschan, Helene Ranetbauer, Georg Regensburger +1
Transportation processes, which play a prominent role in the life and social sciences, are typically described by discrete models on lattices. For studying their dynamics a continu…
Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation
Bertram Düring, Marie-Therese Wolfram
We propose and investigate different kinetic models for opinion formation, when the opinion formation process depends on an additional independent variable, e.g. a leadership or a…
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…
A local version of the Hughes model for pedestrian flow
José A. Carrillo, Stephan Martin, Marie-Therese Wolfram
Roger Hughes proposed a macroscopic model for pedestrian dynamics, in which individuals seek to minimize their travel time but try to avoid regions of high density. One of the basi…