Abstract for the talk on 21.07.2020 (15:15 h)Oberseminar ANALYSIS - PROBABILITY
Radu Ignat (Université Paul Sabatier & IUF Toulouse)
Minimality of degree-one Ginzburg-Landau vortex in the unit ball
In this talk, we will focus on the standard Ginzburg-Landau functional for N-dimensional maps defined in the unit ball that are equal to the identity on the boundary. A special critical point is the so-called degree-one vortex map given by the identity map multiplied with a scalar radial profile. We will prove the minimality of this solution and also discuss about the uniqueness result. This is a joint work with L. Nguyen, V. Slastikov and A. Zarnescu.