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ontheselfsimilarsolutionsofthemagnetohydrodynamicequations
He Cheng1; Xin Zhouping2
2009
Source Publicationactamathematicascientia
ISSN0252-9602
Volume29Issue:3Pages:583
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.
Language英语
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
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/48304
Collection中国科学院数学与系统科学研究院
Affiliation1.中国科学院数学与系统科学研究院
2.香港中文大学
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.
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