Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices
文献类型：期刊论文
| 作者 | Yuan, Baoquan; Zhang, Bo
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2007-11-01 |
| 卷号 | 242期号:1页码:1-10 |
| 关键词 | Navier-Stokes equations Besov spaces blow-up criterion regularity of weak solutions |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2007.07.009 |
| 英文摘要 | A Holder type inequality in Besov spaces is established and applied to show that every strong solution u(t, x) on (0, T) of the Navier-Stokes equations can be continued beyond t > T provided that the vorticity w(t, x) is an element of L2/2-alpha(0, T; (B) over dot(infinity,infinity)(-alpha)(R-3)) boolean AND L2/1-alpha(0, T; (B) over dot(infinity,infinity)(-alpha)(R-3)) for 0 < alpha < 1. (C) 2007 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000251065500001 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4937]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhang, Bo |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Henan Polytechn Univ, Coll Math & Informat, Jiaozuo City 454000, Henan Province, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yuan, Baoquan,Zhang, Bo. Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2007,242(1):1-10. |
| APA | Yuan, Baoquan,&Zhang, Bo.(2007).Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices.JOURNAL OF DIFFERENTIAL EQUATIONS,242(1),1-10. |
| MLA | Yuan, Baoquan,et al."Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices".JOURNAL OF DIFFERENTIAL EQUATIONS 242.1(2007):1-10. |
入库方式： OAI收割
来源：数学与系统科学研究院
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