A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
文献类型：期刊论文
| 作者 | Sun, Yongzhong3; Wang, Chao2; Zhang, Zhifei1 |
| 刊名 | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
 |
| 出版日期 | 2011 |
| 卷号 | 95期号:1页码:36-47 |
| 关键词 | Blow-up criterion Compressible Navier-Stokes equations Lame system Strong solution |
| ISSN号 | 0021-7824 |
| DOI | 10.1016/j.matpur.2010.08.001 |
| 英文摘要 | We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to the 3-D compressible Navier-Stokes equations. The initial vacuum is allowed. The main ingredient of the proof is a priori estimate for an important quantity under the assumption that the density is upper bounded, whose divergence can be viewed as the effective viscous flux. (C) 2010 Elsevier Masson SAS. All rights reserved. |
| 资助项目 | Morningside Center of Mathematics in CAS ; NSF of China[10771097] ; NSF of China[10990013] ; SRF for ROCS, SEM |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000286698500003 |
| 出版者 | GAUTHIER-VILLARS/EDITIONS ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12128]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Zhifei |
| 作者单位 | 1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.CAS, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Yongzhong,Wang, Chao,Zhang, Zhifei. A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2011,95(1):36-47. |
| APA | Sun, Yongzhong,Wang, Chao,&Zhang, Zhifei.(2011).A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,95(1),36-47. |
| MLA | Sun, Yongzhong,et al."A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 95.1(2011):36-47. |
入库方式： OAI收割
来源：数学与系统科学研究院
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