Speaker: Xavier Lamy (Toulouse)
Title: On a differential inclusion related to the Aviles-Giga conjecture
Abstract: The Aviles-Giga energy is a phase transition energy whose conjectured Gamma-limit is defined on two-dimensional weak solutions of the eikonal equation.
In a joint work with A.Lorent and G.Peng we show that solutions arising as limits of vanishing energy are in one-to-one correspondence with solutions to a certain differential inclusion. This sheds a new light on the analysis of energy concentration.