Random attractors for stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise (original) (raw)

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

arXiv: Probability, 2018

Abstract

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

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