Calculus of Variations and Geometric Measure Theory

An exact self-similar solution to a branched transport problem

Michael Goldman (CNRS, CMAP Polytechnique)

created by gelli on 03 May 2017

31 may 2017 -- 17:00   [open in google calendar]

Sala Seminari (Dipartimento di Matematica di Pisa)

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.