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Agenda de la Fédération Denis Poisson |
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Agenda de la Fédération Denis Poisson |
| Barbara Gentz (Bielefeld) | www |
| Metastability for the Ginzburg-Landau equation with space-time white noise | |
| Jeudi 11 mars 2010 - 14h00 - Salle de Séminaire (Orléans) | |
Résumé : We consider a Ginzburg-Landau partial differential equation in a bounded interval, perturbed by weak space-time white noise. As the length of the interval increases, a transition between activation regimes occurs. Consequently, the classical Kramers formula for the expected transition time between metastable states breaks down. We will show how recent results by Bovier, Eckhoff, Gayrard and Klein, providing the first rigorous proof of the Eyring-Kramers formula, can be extended to this degenerate and infinite-dimensional setting in order to derive the subexponential asymptotics of the transition time at the critical interval length. This is joint work with Florent Barret (Palaiseau) and Nils Berglund (Orléans). | |