70 citations · 239 across the 42 of their papers we have counts for
4 papers · 1 filter
Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system
Jean Cauvin-Vila, Virginie Ehrlacher, Greta Marino +1
We study some properties of a multi-species degenerate Ginzburg-Landau energy and its relation to a cross-diffusion Cahn-Hilliard system. The model is motivated by multicomponent m…
Graph-to-local limit for a multi-species nonlocal cross-interaction system
Antonio Esposito, Georg Heinze, Jan-Frederik Pietschmann +1
In this note we continue the study of nonlocal interaction dynamics on a sequence of infinite graphs, extending the results of [Esposito et. al 2023+] to an arbitrary number of spe…
A free boundary model for transport induced neurite growth
Greta Marino, Jan-Frederik Pietschmann, Max Winkler
We introduce a free boundary model to example the effect of vesicle transport onto neurite growth. It consists of systems of drift-diffusion equations describing the evolution of t…
Numerical investigation of agent controlled pedestrian dynamics using a structure preserving finite volume scheme
Jan-Frederik Pietschmann, Ailyn Stötzner, Max Winkler
We provide a numerical realisation of an optimal control problem for pedestrian motion with agents that was analysed in Herzog, Pietschmann, Winkler: "Optimal Control of Hughes' Mo…