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math.AP2025
New dimensional bounds for a branched transport problem
Alessandro Cosenza, Michael Goldman, Melanie Koser
We consider a branched transport problem with weakly imposed boundary conditions. This problem arises as a reduced model for pattern formation in type-I superconductors. For this m…
math.AP2024
Microstructures in a two-dimensional frustrated spin system: Scaling regimes and a discrete-to-continuum limit
Janusz Ginster, Melanie Koser, Barbara Zwicknagl
We study pattern formation within the - - spin model on a two-dimensional square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin field…