Anisotropic regularity conditions for the suitable weak solutions to the 3d navier-stokes equations
文献类型：期刊论文
| 作者 | Wang, Yanqing1; Wu, Gang2 |
| 刊名 | Journal of mathematical fluid mechanics
 |
| 出版日期 | 2016-12-01 |
| 卷号 | 18期号:4页码:699-716 |
| ISSN号 | 1422-6928 |
| 关键词 | Navier-stokes equations Suitable weak solutions Regularity |
| DOI | 10.1007/s00021-016-0279-0 |
| 通讯作者 | Wang, yanqing(wangyanqing20056@gmail.com) |
| 英文摘要 | We are concerned with the problem, originated from seregin (159-200, 2007), seregin (j. math. sci. 143: 2961-2968, 2007), seregin (russ. math. surv. 62:149-168, 2007), what are minimal sufficiently conditions for the regularity of suitable weak solutions to the 3d navier-stokes equations. we prove some interior regularity criteria, in terms of either one component of the velocity with sufficiently small local scaled norm and the rest part with bounded local scaled norm, or horizontal part of the vorticity with sufficiently small local scaled norm and the vertical part with bounded local scaled norm. it is also shown that only the smallness on the local scaled l (2) norm of horizontal gradient without any other condition on the vertical gradient can still ensure the regularity of suitable weak solutions. all these conclusions improve pervious results on the local scaled norm type regularity conditions. |
| WOS关键词 | INTERIOR REGULARITY ; CRITERIA ; PROOF |
| WOS研究方向 | Mathematics ; Mechanics ; Physics |
| WOS类目 | Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas |
| 语种 | 英语 |
| 出版者 | SPRINGER BASEL AG |
| WOS记录号 | WOS:000386341100004 |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2374955 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Wang, Yanqing |
| 作者单位 | 1.Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Henan, 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 | Wang, Yanqing,Wu, Gang. Anisotropic regularity conditions for the suitable weak solutions to the 3d navier-stokes equations[J]. Journal of mathematical fluid mechanics,2016,18(4):699-716. |
| APA | Wang, Yanqing,&Wu, Gang.(2016).Anisotropic regularity conditions for the suitable weak solutions to the 3d navier-stokes equations.Journal of mathematical fluid mechanics,18(4),699-716. |
| MLA | Wang, Yanqing,et al."Anisotropic regularity conditions for the suitable weak solutions to the 3d navier-stokes equations".Journal of mathematical fluid mechanics 18.4(2016):699-716. |
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来源：中国科学院大学
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