LOCAL EXACT CONTROLLABILITY OF THE NAVIER-STOKES EQUATIONS WITH THE CONDITION ON THE PRESSURE ON PARTS OF THE BOUNDARY

doi:10.1137/060650143

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	LOCAL EXACT CONTROLLABILITY OF THE NAVIER-STOKES EQUATIONS WITH THE CONDITION ON THE PRESSURE ON PARTS OF THE BOUNDARY
	Kim, Tujin 1; Cao, Daomin2
	2010
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	48 期号:6 页码:3805-3837
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.
关键词	Navier-Stokes equations controllability Carleman inequality boundary condition on the pressure
DOI	10.1137/060650143
语种	英语
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
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000278365200007
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11206
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.