El Baraka, AzzeddineToumlilin, Mohamed2022-04-012022-04-012017-03-04El Baraka, A., & Toumlilin, M. (2017). Global well-posedness and decay results for 3D generalized magneto-hydrodynamic equations in critical Fourier-Besov-Morrey spaces. <i>Electronic Journal of Differential Equations, 2017</i>(65), pp. 1-20.1072-6691https://hdl.handle.net/10877/15591This article concerns the Cauchy problem of the 3D generalized incompressible magneto-hydrodynamic (GMHD) equations. By using the Fourier localization argument and the Littlewood-Paley theory as in [5,31], we obtain global well-posedness results of the GMHD equations with small initial data belonging to the critical Fourier-Besov-Morrey spaces. Moreover, we prove that the corresponding global solution decays to zero as time approaches infinity.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalMagneto-hydrodynamic equationsGlobal well-posednessFourier-Besov-Morrey spaceArticle