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math.PR2014
Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere
L'ubomír Banas, Zdzisław Brzeźniak, Misha Neklyudov +2
We study ergodic properties of stochastic geometric wave equations on a particular model with the target being the 2D sphere while considering the space variable-independent soluti…
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…