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

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.

arXiv commentFor some key definitions on random dynamical systems, please see arXiv:1103.3889. arXiv admin note: substantial text overlap with arXiv:1403.6571