Gross-Pitaevskii equation at positive temperature

Thursday 12 October 2017, 11:30 à 12:30

Salle de séminaires


Université de Tohoku, Japon (

The stochastic Gross-Pitaevskii equation is used as a model to describe Bose-Einstein condensation at positive temperature. The equation is a complex Ginzburg Landau equation with a trapping potential and an additive space-time white noise.
I am going to talk about two important questions and corresponding our results for this system: the global existence of solutions in the support of the Gibbs measure, and the convergence of those solutions to the equilibrium for large time.