An exact self-similar solution to a branched transport problem

Wednesday, May 31, 2017
Ora Inizio: 
17:00
Ora Fine: 
18:00
Michael Goldman
CNRS, Laboratoire Jacques-Louis Lions
Abstract. 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.