Resumen de Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature
G. Orlandi, Didier Smets 
, Fabrice Bethuel
For the complex parabolic Ginzburg-Landau equation, we prove that, asymptotically, vorticity evolves according to motion by mean curvature in Brakke¿s weak formulation. The only assumption is a natural energy bound on the initial data. In some cases, we also prove convergence to enhanced motion in the sense of Ilmanen.
