WELL-POSEDNESS AND STABILITY FOR THE GENERALIZED INCOMPRESSIBLE MAGNETO-HYDRODYNAMIC EQUATIONS IN CRITICAL FOURIER-BESOV-MORREY SPACES  

作　　者：Azzeddine EL BARAKA Mohamed TOUMLILIN 

机构地区：[1]FST FES, Laboratory AAFA, Department of Mathematics, University Sidi Mohamed Ben Abdellah

出　　处：《Acta Mathematica Scientia》2019年第6期1551-1567,共17页数学物理学报（B辑英文版）

摘　　要：This paper concerns the Cauchy problem of the 3D generalized incompressible magneto-hydrodynamic(GMHD) equations. By using the Fourier localization argument and the Littlewood-Paley theory, we get local well-posedness results of the GMHD equations with large initial data(u0, b0) belonging to the critical Fourier-Besov-Morrey spaces FN^1-2α+3/p'+λ/pp,λ,q(R^3) Moreover, stability of global solutions is also discussed.This paper concerns the Cauchy problem of the 3D generalized incompressible magneto-hydrodynamic（GMHD） equations. By using the Fourier localization argument and the Littlewood-Paley theory, we get local well-posedness results of the GMHD equations with large initial data（u0, b0） belonging to the critical Fourier-Besov-Morrey spaces ■ Moreover, stability of global solutions is also discussed.

关 键 词：magneto-hydrodynamic Fourier-Besov-Morrey space STABILITY 

分 类 号：O17[理学—数学]