ON THE SELF-SIMILAR SOLUTIONS OF THE MAGNETO-HYDRO-DYNAMIC EQUATIONS

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	ON THE SELF-SIMILAR SOLUTIONS OF THE MAGNETO-HYDRO-DYNAMIC EQUATIONS
	He Cheng 1; Xin Zhouping 2,3,4
	2009-05-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	29 期号:3 页码:583-598
摘要	In 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].
关键词	magneto-hydro-dynamics equations backward self-similar solutions forward self-similar solutions
语种	英语
资助项目	973 key Program[2006CB805902] ; Knowledge Innovation Funds of CAS, People's Republic of China[KJCX3-SYW-S03] ; Zheng Ge Ru Foundation ; Hong Kong RGC Earmarked Research Grants ; Center on Nonlinear Studies, Northwest University
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000265911500010
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8138
专题	中国科学院数学与系统科学研究院
通讯作者	He Cheng
作者单位	1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China 3.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 4.NW Univ Xian, Ctr Nonlinear Studies, Xian 710069, Peoples R China
推荐引用方式 GB/T 7714	He Cheng,Xin Zhouping. ON THE SELF-SIMILAR SOLUTIONS OF THE MAGNETO-HYDRO-DYNAMIC EQUATIONS[J]. ACTA MATHEMATICA SCIENTIA,2009,29(3):583-598.
APA	He Cheng,&Xin Zhouping.(2009).ON THE SELF-SIMILAR SOLUTIONS OF THE MAGNETO-HYDRO-DYNAMIC EQUATIONS.ACTA MATHEMATICA SCIENTIA,29(3),583-598.
MLA	He Cheng,et al."ON THE SELF-SIMILAR SOLUTIONS OF THE MAGNETO-HYDRO-DYNAMIC EQUATIONS".ACTA MATHEMATICA SCIENTIA 29.3(2009):583-598.