Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems
timetable:
Mon 3 Apr, 16:30 - 17:10, Aula Dini
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seminar: Escape from a basin of attraction for weakly damped stochastic nonlinear Schrödinger equations perturbed by a small noise
speaker: Eric Gautier (ENS Cachan, antenne de bretagne - IRMAR, et INSEE-CREST)abstract: We consider weakly damped nonlinear Schrödinger equations perturbed by a noise of small amplitude. The small noise is either complex and of additive type or real and of multiplicative type. It is white in time and colored in space. Zero is an asymptotically stable equilibrium point of the deterministic equations. We study the exit from a neighborhood of zero, invariant by the flow of the deterministic equations, in L2 or in H1. Due to noise, large fluctuations off zero occur. Thus, on a sufficiently large time sclae, exit from these domains of attraction occur. We give a formal characterization of the small noise asymptotic of both the first exit times and the exit points.
timetable:
Mon 3 Apr, 16:30 - 17:10, Aula Dini
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