English

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

Probability 2019-10-22 v3

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.

Keywords

Cite

@article{arxiv.1811.10532,
  title  = {Random Attractors for Stochastic Navier-Stokes equation on a 2D rotating sphere with stable L\'evy noise},
  author = {Leanne Dong},
  journal= {arXiv preprint arXiv:1811.10532},
  year   = {2019}
}

Comments

26 pages. Typos corrected and some structural changes in section 3.4. Change of bibiography styling and corrected some further typos