article · Boletim da Sociedade Paranaense de Matemática
Our research establishes the existence and uniqueness of solutions, the analyticity, and the decay estimates of the solutions of the 3D fractional magneto-hydrodynamics equations (FMHD) in the BesovMorrey spaces characterized by the semigroup Lα := e-t(-∆)α, noted by Ns p,λ. Assuming that the initial data (a0, m0) are small and belong to Ns p,λ, we prove the global well-posedness of the (FMHD) equation.
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DOI: 10.5269/bspm.68378
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