Fall workshop on nonlinear and nonlocal PDEs

Plenary talk

Dynamics of Ginzburg Landau vortices for vector fields on surfaces.

Antonio Segatti

 Tu, 15:00in  Room 520for  50min

In this talk I will report on a joint work with Giacomo Canevari (Univ. Verona). I will discuss a parabolic Ginzburg-Landau equation for vector fields on a 2 dimensional closed and oriented Riemannian manifold. In a suitable asymptotic regime the energy of the solutions concentrates on a finite number of points. These points are called vortices and I will show that their evolution is governed by gradient flow of the so-called renormalized energy.

 Overview  Program