paper

Random dynamical systems generated by stochastic Navier--Stokes equation on the rotating sphere

arXiv:1403.6571

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.

The existence and uniqueness results proved in this paper were used later in arXiv:1402.3097

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