Global well-posedness and analyticity for the 3D fractional magneto-hydrodynamics equations in the Besov-Morrey spaces caracerized by Semi-group

Hassan Khaider; Achraf  Azanzal; Chakir  Allalou; Said  Melliani

doi:10.5269/bspm.68378

Hassan Khaider FST of Beni-Mellal, Sultan Moulay slimane University, Morocco.
Achraf Azanzal
Chakir Allalou
Said Melliani

Abstract

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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