The author consider the self-similar solutions to the incompressible magneto-hydrodynamics(MHD) equations in R3 in this paper. By making use of the harmonic analysis and energy arguments, the author show that there is only trivialbackward self-similar solution in some critical Morrey-Camapanto space and BMOspace, which extend the corresponding result obtained by He and Xin (Acta Math.Sci. B. Engl., 29(2009),583-598).
Remark on Leray's self-similar solutions to the 3D MHD equations
RAGUSA, Maria Alessandra;
2014-01-01
Abstract
The author consider the self-similar solutions to the incompressible magneto-hydrodynamics(MHD) equations in R3 in this paper. By making use of the harmonic analysis and energy arguments, the author show that there is only trivialbackward self-similar solution in some critical Morrey-Camapanto space and BMOspace, which extend the corresponding result obtained by He and Xin (Acta Math.Sci. B. Engl., 29(2009),583-598).File in questo prodotto:
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