38 citations · 116 across the 8 of their papers we have counts for
3 papers · 1 filter
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…
Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms
José A. Carrillo, Helene Ranetbauer, Marie-Therese Wolfram
In this paper we present a numerical scheme for nonlinear continuity equations, which is based on the gradient flow formulation of an energy functional with respect to the quadrati…