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

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...

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Veröffentlicht in:	arXiv.org 2019-10
1. Verfasser:	Dong, Leanne
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Sprache:	eng
Schlagworte:	Attractors (mathematics) Dimensional stability Fluid dynamics Fluid flow Mathematical analysis Navier-Stokes equations Noise Noise generation Rotating spheres
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description	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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subjects	Attractors (mathematics) Dimensional stability Fluid dynamics Fluid flow Mathematical analysis Navier-Stokes equations Noise Noise generation Rotating spheres
title	Random Attractors for Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise
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