Global dynamics for the two dimensional stochastic nonlinear wave equations

Jeudi 15 avril 09:14-10:14 - Herbert Koch - Université de Bonn

Résumé : In this joint work with M. Gubinelli, T. Oh and L. Tolomeo we study global-in-time dynamics of the additive space-time noise forcing. We provide two arguments :
1) Combining the I-method in a stochastic setting with a Gronwall-type argument we prove a.s. global well-posedness for the renormalized defocusing cubic Nonlinear Wave equation.
2) Via an invariant measure argument we prove a.s. global wellposedness for the damped renormalized Nonlinear Wave Equation.

Global dynamics for the two dimensional stochastic nonlinear wave equations  Version PDF