70 citations · 239 across the 42 of their papers we have counts for
30 papers · 1 filter
p-Wasserstein distances on networks and 3D to 1D convergence
Martin Burger, Ariane Fazeny, Gilles Mordant +1
We study transport distances on metric graphs representing gas networks. Starting from the dynamic formulation of the Wasserstein distance, we review extensions to networks, with a…
Effective transmission through an interface with evolving microstructure
Lucas M. Fix, Gianna Götzmann, Malte A. Peter +1
We study the asymptotic behaviour of a system of nonlinear reaction--diffusion--advection equations in a domain consisting of two bulk regions connected via microscopic channels di…
Dynamic Optimal Transport with optimal star shaped graphs
Marcello Carioni, Juliane Krautz, Jan-F. Pietschmann
We study an optimal transport problem in a compact convex set where bulk transport is coupled to dynamic optimal transport on a metric graph $ \mathsf{G} = (…
Dynamic Optimal Transport with Optimal Preferential Paths
Marcello Carioni, Juliane Krautz, Jan-F. Pietschmann
We study a dynamic optimal transport type problem on a domain that consists of two parts: a compact set (bulk) and a non-intersecting and sufficiently regul…
Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits
Georg Heinze, Jan-Frederik Pietschmann, André Schlichting
We study evolution equations on metric graphs with reservoirs, that is graphs where a one-dimensional interval is associated to each edge and, in addition, the vertices are able to…
Existence and local asymptotics for a system of cross-diffusion equations with nonlocal Cahn-Hilliard terms
Elisa Davoli, Greta Marino, Jan-Frederik Pietschmann
We study a nonlocal Cahn-Hilliard model for a multicomponent mixture with cross-diffusion effects and degenerate mobility. The nonlocality is described by means of a symmetric sing…