Well-Posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains

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2016

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Springer

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Fractional stochastic Navier-Stokes equation, Fractional stochastic vorticity Navier-Stokes equation, Q-Wiener process, Subcritical, Critical, Supercritical, Dissipative and hyperdissipative regimes, Martingale, Mild, Global, Local and weak-strong solutions, Riesz transform, Serrin's condition, Beale-Kato-Majda condition, Fractional Sobolev spaces, Gamma-radonifying operators, UMD Banach spaces of type 2, Pseudo-differential operators, Skorokhod embedding theorem, Faedo-Galerkin approximation, Compactness methods

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