English

Random attractors for the stochastic Navier--Stokes equations on the 2D unit sphere

Analysis of PDEs 2015-06-03 v3

Abstract

In this paper we prove the existence of random attractors for the Navier--Stokes equations on 2 dimensional sphere under random forcing irregular in space and time. We also deduce the existence of an invariant measure.

Keywords

Cite

@article{arxiv.1402.3097,
  title  = {Random attractors for the stochastic Navier--Stokes equations on the 2D unit sphere},
  author = {Zdzislaw Brzeźniak and Beniamin Goldys and Quoc Thong Le Gia},
  journal= {arXiv preprint arXiv:1402.3097},
  year   = {2015}
}

Comments

For some key definitions on random dynamical systems, please see arXiv:1103.3889. arXiv admin note: substantial text overlap with arXiv:1403.6571

R2 v1 2026-06-22T03:07:31.026Z