Global well-posedness and decay results for 3D generalized magneto-hydrodynamic equations in critical Fourier-Besov-Morrey spaces
Date
2017-03-04
Authors
El Baraka, Azzeddine
Toumlilin, Mohamed
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This 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.
Description
Keywords
Magneto-hydrodynamic equations, Global well-posedness, Fourier-Besov-Morrey space
Citation
El 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.
Rights
Attribution 4.0 International