Random Attractors for Stochastic Navier-Stokes equation on a 2D rotating sphere with stable L\'evy noise

Leanne Dong

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arXiv · 1811.10532

Random Attractors for Stochastic Navier-Stokes equation on a 2D rotating sphere with stable L\'evy noise

Leanne Dong

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Abstract

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

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Leanne Dong. 2018-11-17. Random Attractors for Stochastic Navier-Stokes equation on a 2D rotating sphere with stable L\'evy noise. https://arxiv.org/abs/1811.10532

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