Random attractors for the stochastic Navier–Stokes equations on the 2D unit sphere

Zdzisław Brzeźniak, Ben Goldys and Q. T. Le Gia

Abstract

In this paper we prove the existence of random attractors for the Navier–Stokes equations on 2 dimensional sphere under random forcing irregular in space and time. We also deduce the existence of an invariant measure.

Keywords: random attractors, asymptotically compact random dynamical systems, stochastic Navier-Stokes equation, unit sphere.

AMS Subject Classification: Primary 35B41.