He Cheng1; Xin Zhouping2
Source Publicationactamathematicascientia
AbstractIn this paper, we show that, for the three dimensional incompressible magneto-hydro-dynamic equations, there exists only trivial backward self-similar solution in L-p(R-3) for p ! 3, under some smallness assumption on either the kinetic energy of the self-similar solution related to the velocity field, or the magnetic field. Second, we construct a class of global unique forward self-similar solutions to the three-dimensional MHD equations with small initial data in some sense, being homogeneous of degree -1 and belonging to some Besov space, or the Lorentz space or pseudo-measure space, as motivated by the work in 5.
Funding Project[973 key Program] ; [Knowledge Innovation Funds of CAS, People's Republic of China] ; [Zheng Ge Ru Foundation] ; [Hong Kong RGC Earmarked Research Grants] ; [Center on Nonlinear Studies, Northwest University]
Document Type期刊论文
Recommended Citation
GB/T 7714
He Cheng,Xin Zhouping. ontheselfsimilarsolutionsofthemagnetohydrodynamicequations[J]. actamathematicascientia,2009,29(3):583.
APA He Cheng,&Xin Zhouping.(2009).ontheselfsimilarsolutionsofthemagnetohydrodynamicequations.actamathematicascientia,29(3),583.
MLA He Cheng,et al."ontheselfsimilarsolutionsofthemagnetohydrodynamicequations".actamathematicascientia 29.3(2009):583.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[He Cheng]'s Articles
[Xin Zhouping]'s Articles
Baidu academic
Similar articles in Baidu academic
[He Cheng]'s Articles
[Xin Zhouping]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[He Cheng]'s Articles
[Xin Zhouping]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.