## 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.

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.

Original language | English |
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Pages (from-to) | 227-253 |

Number of pages | 27 |

Journal | Journal of Mathematical Fluid Mechanics |

Volume | 20 |

Issue number | 1 |

Early online date | 28 Nov 2017 |

Publication status | Published - Mar 2018 |

### Bibliographical note

© The Author(s) 2017## Keywords

- random attractors
- energy method
- asymptotically compact random dynamical systems
- stochastic Navier-Stokes
- unit sphere