112 citations · 445 across the 26 of their papers we have counts for
26 papers
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…
Cosh gradient systems and tilting
Mark A. Peletier, André Schlichting
We review a class of gradient systems with dissipation potentials of hyperbolic-cosine type. We show how such dissipation potentials emerge in large deviations of jump processes, m…
Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients
Víctor Navarro-Fernández, André Schlichting
We study the implicit upwind finite volume scheme for numerically approximating the advection-diffusion equation with a vector field in the low regularity DiPerna-Lions setting. Th…