Article ID Journal Published Year Pages File Type
4616334 Journal of Mathematical Analysis and Applications 2013 26 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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