Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616334 | Journal of Mathematical Analysis and Applications | 2013 | 26 Pages |
Abstract
In this paper, we introduce a class of Besov type Q-spaces BÌp,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 BÌp,pγ1,γ2(Rn) to some tent spaces Bp,m,mâ²Î³1,γ2. As an application, we prove the global well-posedness of equations (FMHD) with data in BÌp,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 BÌp,pγ1,γ2(Rn), where pâ 2.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pengtao Li, Qixiang Yang,