Partial regularity for the 3d magneto-hydrodynamics system with hyper-dissipation
文献类型：期刊论文
| 作者 | Ren, Wei1; Wu, Gang2 |
| 刊名 | Acta mathematica sinica-english series
 |
| 出版日期 | 2015-07-01 |
| 卷号 | 31期号:7页码:1097-1112 |
| 关键词 | 3d mhd system Fractal dissipation Partial regularity Physical and frequency localization Bony's paraproduct decomposition |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-015-4498-8 |
| 通讯作者 | Ren, wei(renwei4321@163.com) |
| 英文摘要 | We prove that for the 3d mhd equations with hyper-dissipations (-delta)(alpha) (1 < alpha < 5/4) the hausdorff dimension of singular set at the first blowing up time is at most 5 - 4 alpha, by means of physical and frequency localization, bony's paraproduct and littlewood-paley theory. |
| WOS关键词 | NAVIER-STOKES EQUATIONS ; SUITABLE WEAK SOLUTIONS ; SPACE ; PROOF ; TIME |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000356877100004 |
| 出版者 | SPRINGER HEIDELBERG |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2376420 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Ren, Wei |
| 作者单位 | 1.Beihang Univ, Dept Math & Syst Sci, Beijing 100191, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ren, Wei,Wu, Gang. Partial regularity for the 3d magneto-hydrodynamics system with hyper-dissipation[J]. Acta mathematica sinica-english series,2015,31(7):1097-1112. |
| APA | Ren, Wei,&Wu, Gang.(2015).Partial regularity for the 3d magneto-hydrodynamics system with hyper-dissipation.Acta mathematica sinica-english series,31(7),1097-1112. |
| MLA | Ren, Wei,et al."Partial regularity for the 3d magneto-hydrodynamics system with hyper-dissipation".Acta mathematica sinica-english series 31.7(2015):1097-1112. |
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来源：中国科学院大学
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