McKean-Vlasov SPDEs

We consider McKean-Vlasov Stochastic Partial Differential Equations with additive noise. We will focus on their well-posedness and long-time behaviour; showing that, under some assumptions on the spatial regularity of the noise, these SPDEs are well-posed and the semigroup resulting from them is strong Feller and irreducible.
This is based on joint work with L. Angeli, J. Barrè and M. Ottobre.