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• W2048135087 abstract "In this paper, we introduce a class of Besov type Q-spaces Ḃp,pγ1,γ2(Rn) to study the well-posedness of the fractional magneto-hydrodynamic (FMHD) equations. Applying wavelets and multi-resolution analysis, we obtain the boundedness of a semigroup operator from Ḃp,pγ1,γ2(Rn) to some tent spaces Bp,m,m′γ1,γ2. As an application, we prove the global well-posedness of equations (FMHD) with data in Ḃp,pγ1,γ2(Rn). Compared with the method of Fourier transform, the advantage of our method can be applied to the well-posedness with initial data in Ḃp,pγ1,γ2(Rn), where p≠2." @default.
• W2048135087 created "2016-06-24" @default.
• W2048135087 creator A5086467460 @default.
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• W2048135087 date "2013-09-01" @default.
• W2048135087 modified "2023-10-16" @default.
• W2048135087 title "Wavelets and the well-posedness of incompressible magneto-hydrodynamic equations in Besov type<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mi>Q</mml:mi></mml:math>-space" @default.
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• W2048135087 doi "https://doi.org/10.1016/j.jmaa.2013.04.035" @default.
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