28 citations · 134 across the 11 of their papers we have counts for
4 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…
Global well-posedness for passively transported nonlinear moisture dynamics with phase changes
Sabine Hittmeir, Rupert Klein, Jinkai Li +1
We study a moisture model for warm clouds that has been used by Klein and Majda as a basis for multiscale asymptotic expansions for deep convective phenomena. These moisture balanc…
Nonlinear Aggregation-Diffusion Equations: Radial Symmetry and Long Time Asymptotics
J. A. Carrillo, S. Hittmeir, B. Volzone +1
We analyze under which conditions equilibration between two competing effects, repulsion modeled by nonlinear diffusion and attraction modeled by nonlocal interaction, occurs. This…
Decay to equilibrium for energy-reaction-diffusion systems
Jan Haskovec, Sabine Hittmeir, Peter Markowich +1
We derive thermodynamically consistent models of reaction-diffusion equations coupled to a heat equation. While the total energy is conserved, the total entropy serves as a driving…