Well-Posedness and regularity properties of 2d $\beta$-plane stochastic Navier-Stokes equations in a periodic channel

Yuri Cacchio', Amirali Hannani, Gigliola Staffilani

We consider the 2d $\beta$-plane stochastic Navier-Stokes equations in a periodic channel. We prove the well-posedness and existence of the stationary measure, as well as certain regul…