[01797] Random dynamics of 2D stochastic Naiver-Stokes equations on the whole space
Session Time & Room : 4E (Aug.24, 17:40-19:20) @G404
Type : Contributed Talk
Abstract : In this talk, we consider the 2D stochastic Navier-Stokes equations (SNSE) driven by a linear multiplicative white noise of It\^o type on the whole space. Firstly, we will discuss the existence of a unique bi-spatial $(\mathbb{L}^2(\mathbb{R}^2),\mathbb{H}^1(\mathbb{R}^2))$-pullback random attractor for non-autonomous SNSE with initial data in $\mathbb{L}^2(\mathbb{R}^2)$. Finally, we will discuss the existence of an invariant measure for 2D autonomous SNSE. Also, the uniqueness of invariant measures for $\boldsymbol{f}=\mathbf{0}$ will be addressed.
