Random Attractors for the Stochastic Navier–Stokes Equations on the 2D Unit Sphere

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Abstract

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 the existence of an invariant measure.

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Brzeźniak, Z., Goldys, B., & Le Gia, Q. T. (2018). Random Attractors for the Stochastic Navier–Stokes Equations on the 2D Unit Sphere. Journal of Mathematical Fluid Mechanics, 20(1), 227–253. https://doi.org/10.1007/s00021-017-0351-4

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