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ON THE STRONG SOLUTIONS OF THE INHOMOGENEOUS INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN A THIN DOMAIN
Liao, Xian
2016
Source PublicationDIFFERENTIAL AND INTEGRAL EQUATIONS
ISSN0893-4983
Volume29Issue:1-2Pages:167-182
AbstractIn 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.
Language英语
Funding ProjectMCM
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000370111700009
PublisherKHAYYAM PUBL CO INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22056
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLiao, Xian
AffiliationChinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
Recommended Citation
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.
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