Well-posedness of the 3D Stochastic Generalized Rotating Magnetohydrodynamics Equations
Keywords:
Stochastic magnetohydrodynamics equation, well-posedness, Fourier_Besov_Morrey spacesAbstract
In this paper we treat the 3D stochastic incompressible generalized rotating magnetohydrodynamics equations. By using littlewood-Paley decomposition and Itô integral, we establish the global well-posedness result for small initial data (u0,b0) belonging in the critical Fourier-Besov-Morrey spaces F˙N52−2α+λ22,λ,q(R3). In addition, the proof of local existence is also founded on a priori estimates of the stochastic parabolic equation and the iterative contraction method.
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