Vortex-Dynamics in the Ginzburg-Landau Heat-Flow

Thursday, October 28, 2004 - 11:00am - 11:50am
EE/CS 3-180
Sylvia Serfaty (New York University)
The Ginzburg-Landau equations are a model for superconductivity, in which the crucial singularities are topological singularities of vortex type. We will describe some results obtained with Etienne Sandier on the dynamics of vortices in Ginzburg-Landau, which are obtained by a Gamma-convergence-based method of convergence which gives criteria to prove that solutions to the gradient-flow of energies which Gamma-converge to the solutions of the gradient-flow of the limiting energy. We will also describe some results on vortex-collisions.