An exact self-similar solution to a branched transport problem – Michael Goldman (CNRS, Laboratoire Jacques-Louis Lions)


Sala Seminari (Dip. Matematica).


In this talk I will show how one can exactly compute the minimizer of a variant of branched transportation arising as a simplified model for pattern formation in type-I superconductors. The proof relies on the natural scaling properties of the problem. A 3D version of this model has recently been derived from the full Ginzburg-Landau model together with S. Conti, S. Serfaty and F. Otto.

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