Random dynamical systems generated by stochastic Navier--Stokes equation on the rotating sphere
Analysis of PDEs
2014-03-27 v1
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 sphere. Then we show the existence of an asymptotically compact random dynamical system associated with the equations.
Cite
@article{arxiv.1403.6571,
title = {Random dynamical systems generated by stochastic Navier--Stokes equation on the rotating sphere},
author = {Zdzislaw Brzeźniak and Beniamin Goldys and Quoc Thong Le Gia},
journal= {arXiv preprint arXiv:1403.6571},
year = {2014}
}
Comments
The existence and uniqueness results proved in this paper were used later in arXiv:1402.3097