Random dynamical systems generated by stochastic Navier-Stokes equations on a rotating sphere

Z. Brzezniak, B. Goldys, Q. T. Le Gia*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we first prove the existence and uniqueness of the solution to the stochastic Navier-Stokes equations on the rotating 2-dimensional unit sphere. Then we show the existence of an asymptotically compact random dynamical system associated with the equations.

Original languageEnglish
Pages (from-to)505-545
Number of pages41
JournalJournal of mathematical analysis and applications
Volume426
Issue number1
Early online date27 Jan 2015
DOIs
Publication statusPublished - 1 Jun 2015

Keywords

  • Random dynamical system
  • Stochastic Navier-Stokes equations
  • Unit sphere

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