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Accueil du site > Résumés des séminaires > Labo > Stability of stationary solution for the Lugiato-Lefever equation under stochastic perturbation

Stability of stationary solution for the Lugiato-Lefever equation under stochastic perturbation

I will talk about the stability of stationary solution for the Lugiato-Lefever equation with additive noise. The Lugiato-Lefever equation is a nonlinear Schrodinger equation with damping and forcing terms, which models the optical cavity. Even though it is exponentially asymptotic stable, the stationary solution is almost surely unbounded under additive noise perturbation. We will discuss the stability from the viewpoint of the Freidlin-Wentzell type large deviation theorem. This is a joing work with T. Miyaji, RIMS, Kyoto University and I. Ohnishi, Hiroshima University.

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