Random dynamical systems generated by stochastic Navier--Stokes equation on the rotating sphere
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🧮 math.AP
keywords
dynamicalequationsexistencenavier--stokesrandomrotatingspherestochastic
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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.
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