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math.AP2025
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…
math.AP2025
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} = (…
math.AP2025
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…