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math.AP2024

On the Meissner state for type-II inhomogeneous superconductors

Matías Díaz-Vera, Carlos Román

We consider extreme type-II superconductors modeled by the Ginzburg--Landau energy with a pinning term , which we assume to be a bounded measurable function such…

math.AP2023

Domain branching in micromagnetism: scaling law for the global and local energies

Tobias Ried, Carlos Román

We study the occurrence of domain branching in a class of -dimensional sharp interface models featuring the competition between an interfacial energy and a non-local field e…