112 citations · 445 across the 26 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…
Variational convergence of the Scharfetter-Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit
Anastasiia Hraivoronska, André Schlichting, Oliver Tse
In this paper, we explore the convergence of the semi-discrete Scharfetter-Gummel scheme for the aggregation-diffusion equation using a variational approach. Our investigation invo…
Covariance-modulated optimal transport and gradient flows
Martin Burger, Matthias Erbar, Franca Hoffmann +2
We study a variant of the dynamical optimal transport problem in which the energy to be minimised is modulated by the covariance matrix of the distribution. Such transport metrics…