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

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

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...

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1. Verfasser: Dong, Leanne
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Probability
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Zusammenfassung: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.
DOI:10.48550/arxiv.1811.10532