Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations
文献类型：期刊论文
| 作者 | Ren, Wei1; Wang, Yanqing2; Wu, Gang3 |
| 刊名 | Communications in contemporary mathematics
 |
| 出版日期 | 2016-12-01 |
| 卷号 | 18期号:6页码:38 |
| 关键词 | Magnetohydrodynamics equations Suitable weak solutions Partial regularity |
| ISSN号 | 0219-1997 |
| DOI | 10.1142/s0219199716500188 |
| 通讯作者 | Wang, yanqing(wangyanqing20056@gmail.com) |
| 英文摘要 | In this paper, we are concerned with the partial regularity of the suitable weak solutions to the fractional mhd equations in r-n for n = 2, 3. in comparison with the work of the 3d fractional navier-stokes equations obtained by tang and yu in [partial regularity of suitable weak solutions to the fractional navier-stokes equations, comm. math. phys. 334 (2015) 1455-1482], our results include their endpoint case alpha = 3/4 and the external force belongs to a more general parabolic morrey space. moreover, we prove some interior regularity criteria just via the scaled mixed norm of the velocity for the suitable weak solutions to the fractional mhd equations. |
| WOS关键词 | NAVIER-STOKES EQUATIONS ; HYPER-DISSIPATION ; MHD EQUATIONS ; CRITERIA ; PROOF |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000384249100012 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2375074 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Wang, Yanqing |
| 作者单位 | 1.Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China 2.Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ren, Wei,Wang, Yanqing,Wu, Gang. Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations[J]. Communications in contemporary mathematics,2016,18(6):38. |
| APA | Ren, Wei,Wang, Yanqing,&Wu, Gang.(2016).Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations.Communications in contemporary mathematics,18(6),38. |
| MLA | Ren, Wei,et al."Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations".Communications in contemporary mathematics 18.6(2016):38. |
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来源：中国科学院大学
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