ON THE STRONG SOLUTIONS OF THE INHOMOGENEOUS INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN A THIN DOMAIN

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	ON THE STRONG SOLUTIONS OF THE INHOMOGENEOUS INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN A THIN DOMAIN
	Liao, Xian
	2016
发表期刊	DIFFERENTIAL AND INTEGRAL EQUATIONS
ISSN	0893-4983
卷号	29 期号:1-2 页码:167-182
摘要	In this work, we will show the global existence of the strong solutions of the inhomogeneous incompressible Navier-Stokes equations in a thin three dimensional domain Omega = R-2 x [0, epsilon], with Dirichlet boundary condition on the top and bottom boundary: the global well-posedness may hold for large initial data when the vertical size epsilon is sufficiently small. Furthermore, when epsilon -> 0 the velocity tends to vanish away from the initial time. The analysis relies on the a priori H-2-estimate for the solutions (similar as in [4, 5, 21]) and one pays attention to the dependence on the vertical size epsilon.
语种	英语
资助项目	MCM
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000370111700009
出版者	KHAYYAM PUBL CO INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22056
专题	中国科学院数学与系统科学研究院
通讯作者	Liao, Xian
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liao, Xian. ON THE STRONG SOLUTIONS OF THE INHOMOGENEOUS INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN A THIN DOMAIN[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS,2016,29(1-2):167-182.
APA	Liao, Xian.(2016).ON THE STRONG SOLUTIONS OF THE INHOMOGENEOUS INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN A THIN DOMAIN.DIFFERENTIAL AND INTEGRAL EQUATIONS,29(1-2),167-182.
MLA	Liao, Xian."ON THE STRONG SOLUTIONS OF THE INHOMOGENEOUS INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN A THIN DOMAIN".DIFFERENTIAL AND INTEGRAL EQUATIONS 29.1-2(2016):167-182.