LOCAL EXACT CONTROLLABILITY OF THE NAVIER-STOKES EQUATIONS WITH THE CONDITION ON THE PRESSURE ON PARTS OF THE BOUNDARY
文献类型：期刊论文
| 作者 | Kim, Tujin1; Cao, Daomin2
|
| 刊名 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION
 |
| 出版日期 | 2010 |
| 卷号 | 48期号:6页码:3805-3837 |
| 关键词 | Navier-Stokes equations controllability Carleman inequality boundary condition on the pressure |
| ISSN号 | 0363-0129 |
| DOI | 10.1137/060650143 |
| 英文摘要 | In this paper we prove a local exact controllability of the Navier-Stokes equations with the condition on the pressure on parts of the boundary. The local exact controllability is proved by using a global Carleman inequality and an estimate of an equation adjoint to a linearized Navier-Stokes equation with the nonstandard boundary condition. We also obtain the null controllability of the linearized system by controls acting on an arbitrarily given subdomain. |
| 资助项目 | TWAS ; UNESCO ; Chinese Academy of Sciences ; Science Fund for Creative Research Groups[10721101] ; Chinese Academy of Sciences[KJCX3-SYW-S03] ; NNSF of China[10631030] |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000278365200007 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11205]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Kim, Tujin |
| 作者单位 | 1.Acad Sci, Inst Math, Pyongyang, North Korea 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Kim, Tujin,Cao, Daomin. LOCAL EXACT CONTROLLABILITY OF THE NAVIER-STOKES EQUATIONS WITH THE CONDITION ON THE PRESSURE ON PARTS OF THE BOUNDARY[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2010,48(6):3805-3837. |
| APA | Kim, Tujin,&Cao, Daomin.(2010).LOCAL EXACT CONTROLLABILITY OF THE NAVIER-STOKES EQUATIONS WITH THE CONDITION ON THE PRESSURE ON PARTS OF THE BOUNDARY.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,48(6),3805-3837. |
| MLA | Kim, Tujin,et al."LOCAL EXACT CONTROLLABILITY OF THE NAVIER-STOKES EQUATIONS WITH THE CONDITION ON THE PRESSURE ON PARTS OF THE BOUNDARY".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 48.6(2010):3805-3837. |
入库方式： OAI收割
来源：数学与系统科学研究院
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