293 citations · 790 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
Graph-to-local limit for the nonlocal interaction equation
Antonio Esposito, Georg Heinze, André Schlichting
We study a class of nonlocal partial differential equations presenting a tensor-mobility, in space, obtained asymptotically from nonlocal dynamics on localising infinite graphs. Ou…
Nonlocal cross-interaction systems on graphs: Energy landscape and dynamics
Georg Heinze, Jan-Frederik Pietschmann, Markus Schmidtchen
We explore the dynamical behavior and energetic properties of a model of two species that interact nonlocally on finite graphs. The authors recently introduced the model in the con…
Nonlocal cross-interaction systems on graphs: Nonquadratic Finslerian structure and nonlinear mobilities
Georg Heinze, Jan-Frederik Pietschmann, Markus Schmidtchen
We study the evolution of a system of two species with nonlinear mobility and nonlocal interactions on a graph whose vertices are given by an arbitrary, positive measure. To this e…