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

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.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2015-06, Vol.426 (1), p.505-545
Main Authors: Brzeźniak, Z., Goldys, B., Le Gia, Q.T.
Format: Article
Language:English
Subjects:
Random dynamical system
Stochastic Navier–Stokes equations
Unit sphere
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Description
Summary: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2015.01.054