Random Attractors for Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise

Abstract

In this paper we prove that the stochastic Navier-Stokes equations with stable Lévy noise generates a random dynamical systems. Then we prove the existence of random attractor for the Navier-Stokes equations on 2D spheres under stable Lévy noise (finite dimensional). We also deduce the existence of Feller Markov invariant measure.

26 pages. Typos corrected and some structural changes in section 3.4. Change of bibiography styling and corrected some further typos