ON THE SELF-SIMILAR SOLUTIONS OF THE MAGNETO-HYDRO-DYNAMIC EQUATIONS
文献类型：期刊论文
| 作者 | He Cheng1; Xin Zhouping2,3,4 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2009-05-01 |
| 卷号 | 29期号:3页码:583-598 |
| 关键词 | magneto-hydro-dynamics equations backward self-similar solutions forward self-similar solutions |
| ISSN号 | 0252-9602 |
| 英文摘要 | 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]. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000265911500010 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8137]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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