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

2018/11/17 by Dong, Leanne · 1 citation
#35Q30 #35Q86 #37Hxx #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1811.10532

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.

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• (H,H²)-smoothing effect of Navier-Stokes equations with additive white noise on two-dimensional torus

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