The initial boundary value problem for Navier-Stokes equations

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	The initial boundary value problem for Navier-Stokes equations
	He, C
	1999-04-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	15 期号:2 页码:153-164
摘要	By making full use of the estimates of solutions to nonstationary Stokes equations and the method discussing global stability, we establish the global existence theorem of strong solutions for Navier-Stokes equations in arbitrary three dimensional domain with uniformly C-3 boundary, under the assumption that parallel to a parallel to L-2(Omega) + parallel to f parallel to L-1 (0,infinity;L-2(Omega)) or parallel to del a parallel to L-2(Omega) + parallel to f parallel to L-2(0,infinity;L-2(Omega)) small or viscosity nu large. Here a is a given initial velocity and f is the external force. This improves on the previous results. Moreover, the solvability of the case with nonhomogeneous boundary conditions is also discussed.
关键词	Navier-Stokes equations Stokes equations homogeneous boundary conditions nonhomogeneous boundary conditions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000080256700002
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14331
专题	中国科学院数学与系统科学研究院
通讯作者	He, C
作者单位	Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	He, C. The initial boundary value problem for Navier-Stokes equations[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,1999,15(2):153-164.
APA	He, C.(1999).The initial boundary value problem for Navier-Stokes equations.ACTA MATHEMATICA SINICA-ENGLISH SERIES,15(2),153-164.
MLA	He, C."The initial boundary value problem for Navier-Stokes equations".ACTA MATHEMATICA SINICA-ENGLISH SERIES 15.2(1999):153-164.