ontheselfsimilarsolutionsofthemagnetohydrodynamicequations

CSpace

	ontheselfsimilarsolutionsofthemagnetohydrodynamicequations
	He Cheng 1; Xin Zhouping 2
	2009-01-01
发表期刊	actamathematicascientia
ISSN	0252-9602
卷号	29 期号:3 页码:583
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.
语种	英语
资助项目	[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]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/48304
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.香港中文大学
推荐引用方式 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.