Contributed Session 2:  PDEs and Applications
Mixing for stochastic PDEs driven by spatially localized white-in-time noises
Tianyi Pan
New York University, Shanghai.
Peoples Rep of China
  Co-Author(s):    Vahagn Nersesyan, Xuhui Peng, Lihu Xu
  Abstract:
 

We study the ergodicity of the three-dimensional stochastic Ginzburg--Landau (SCGL) equation on the torus driven by   white-in-time noise that is highly degenerate in Fourier modes and spatially localized. Here spatially localized means that the noise acts only on a prescribed subdomain of the physical space. The proof combines the Malliavin calculus approach of Hairer and Mattingly and some tools from control theory.