70 citations · 433 across the 44 of their papers we have counts for
4 papers · 2 filters
Derivation and analysis of continuum models for crossing pedestrian traffic
Sabine Hittmeir, Helene Ranetbauer, Christian Schmeiser +1
In this paper we study hyperbolic and parabolic nonlinear partial differential equation models, which describe the evolution of two intersecting pedestrian flows. We assume that in…
Cross-diffusion systems with excluded volume effects and asymptotic gradient flows
Maria Bruna, Martin Burger, Helene Ranetbauer +1
In this paper we discuss the analysis of a cross-diffusion PDE system for a mixture of hard spheres, which was derived by Bruna and Chapman from a stochastic system of interacting…
Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth
Martin Burger, Alexander Lorz, Marie-Therese Wolfram
In this paper we study balanced growth path solutions of a Boltzmann mean field game model proposed by Lucas et al [13] to model knowledge growth in an economy. Agents can either i…
Parabolic free boundary price formation models under market size fluctuations
Peter A. Markowich, Josef Teichmann, Marie-Therese Wolfram
In this paper we propose an extension of the Lasry-Lions price formation model which includes fluctuations of the numbers of buyers and vendors. We analyze the model in the case of…