Resumen de Vortex dynamics for the two dimensional non homogeneous Gross-Pitaevskii equation

Robert Jerrard, Didier Smets

• We derive the asymptotical dynamical law for Ginzburg-Landau vortices in an inhomogeneous background density under the Schrödinger dynamics, when the Ginzburg-Landau parameter goes to zero. New ingredients include lower bounds and approximations across the vortex cores.