I will speak about stochastic Navier-Stokes equations in unbounded domains with multiplicative noise. I will explain how the proof of the existence of a weak solution can be reformulated as a proof of the existence of an invariant measure. It turns out that even in the case of bounded domains, our approach improves a classical result by Flandoli and Gatarek.
This talk will be based on two papers: a joint work with with M. Ondrejat and Ela Motyl, and a joint work with B. Ferrario.