Ergodicity of the 2D Navier-Stokes Equations with Degenerate Multiplicative Noise

Abstract

Consider the two-dimensional, incompressible Navier-Stokes equations on the torus We prove that the semigroup P_t generated by the solutions to stochastic Navier-stokes equations is asymptotically strong Feller. Moreover, we also prove that semigroup P_t is exponentially ergodic in some sense

References in corpus (2)

• Spectral gaps in Wasserstein distances and the 2D stochastic Navier--Stokes equations
• Strong solutions for SPDE with locally monotone coefficients driven by Lévy noise