Didier Smets

Sorbonne Université

On the stability of the Ginzburg-Landau vortex

I will review questions related to the stability of the Ginzburg–Landau vortex in 2D, and report on a recent work with Philippe Gravejat and Eliot Pacherie where we establish nonlinear coercivity estimates which can be used e.g. to deduce its orbital stability for the Gross–Pitaevskii flow.