Colloquium20171012

Gross-Pitaevskii equation at positive temperature

Jeudi 12 octobre 2017, 11:30 à 12:30

Salle de séminaires

Colloquium
Reika FUKUIZUMI

Université de Tohoku, Japon (http://www.math.is.tohoku.ac.jp/~fukuizumi/)

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.

Exposé