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math.AP2014★ 1 cited
Random dynamical systems generated by stochastic Navier--Stokes equation on the rotating sphere
Zdzislaw Brzeźniak, Beniamin Goldys, Quoc Thong Le Gia
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 existenc…
math.AP2014
Random attractors for the stochastic Navier--Stokes equations on the 2D unit sphere
Zdzislaw Brzeźniak, Beniamin Goldys, Quoc Thong Le Gia
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…