Differential Equations Seminar
Monday, April 7, 2014 · 11 AM - 12 PM
Speaker:
Dr. Sandra Cerrai from the University of Maryland, College Park
The large deviation principle for SPDEs in the Smoluchowskii-Kramers approximation
Abstract:
We study the limiting behavior of the large deviation action functional and of the quasi-potential for a stochastic semi-linear wave equation in presence of a small mass. We show that the small noise asymptotic (large deviation) is consistent with the small mass asymptotic (Smoluchowskii-Kramers approximation).