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 FṄp,λ,q1-2α+ 3/p'+λ/p (R3). Moreover, stability of global solutions is also discussed.
Azzeddine EL BARAKA
,
Mohamed TOUMLILIN
. WELL-POSEDNESS AND STABILITY FOR THE GENERALIZED INCOMPRESSIBLE MAGNETO-HYDRODYNAMIC EQUATIONS IN CRITICAL FOURIER-BESOV-MORREY SPACES[J]. Acta mathematica scientia, Series B, 2019
, 39(6)
: 1551
-1567
.
DOI: 10.1007/s10473-019-0607-6
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