ontheselfsimilarsolutionsofthemagnetohydrodynamicequations
文献类型：期刊论文
| 作者 | He Cheng1; Xin Zhouping2 |
| 刊名 | actamathematicascientia
 |
| 出版日期 | 2009 |
| 卷号 | 29期号:3页码:583 |
| 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] ; [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] |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/48303]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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