Stability to the global large solutions of 3-D Navier-Stokes equations | |
Gui, Guilong2; Zhang, Ping1 | |
2010-10-20 | |
Source Publication | ADVANCES IN MATHEMATICS |
ISSN | 0001-8708 |
Volume | 225Issue:3Pages:1248-1284 |
Abstract | In this paper, we consider the stability to the global large solutions of 3-D incompressible Navier-Stokes equations in the anisotropic Sobolev spaces. In particular, we proved that for any s(0) is an element of (1/2, 1), given a global large solution v is an element of C([0, infinity); H(0,s0)(R(3)) boolean AND L(3)(R(3))) of (1.1) with del v is an element of L(loc)(2)(R(+), H(0,s0)(R(3),)) and a divergence free vector w(0) = (w(0)(h), w(0)(3)) is an element of H(0,s0)(R(3)) satisfying parallel to w(0)(h)parallel to(H0,s) <= c(s,w03,v) for some sufficiently small constant depending on s is an element of (1/2, s(0)), v, and parallel to w(0)(3)parallel to(H0,s), (1.1) supplemented with initial data v(0) + w(0) has a unique global solution in u is an element of C([0, infinity); H(0,s0)(R(3))) with del u is an element of L(2)(R(+), H(0,s0)(R(3))). Furthermore, u(h) is close enough to v(h) in C([0, infinity); H(0,s) (R(3))). (C) 2010 Elsevier Inc. All rights reserved. |
Keyword | Navier-Stokes equations Littlewood-Paley theory Stability |
DOI | 10.1016/j.aim.2010.03.022 |
Language | 英语 |
Funding Project | NSF of China[10931007] ; NSF of China[10721061] ; National 973 project ; Chinese Academy of Sciences |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000281045700005 |
Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/10190 |
Collection | 数学所 |
Corresponding Author | Zhang, Ping |
Affiliation | 1.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100864, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
Recommended Citation GB/T 7714 | Gui, Guilong,Zhang, Ping. Stability to the global large solutions of 3-D Navier-Stokes equations[J]. ADVANCES IN MATHEMATICS,2010,225(3):1248-1284. |
APA | Gui, Guilong,&Zhang, Ping.(2010).Stability to the global large solutions of 3-D Navier-Stokes equations.ADVANCES IN MATHEMATICS,225(3),1248-1284. |
MLA | Gui, Guilong,et al."Stability to the global large solutions of 3-D Navier-Stokes equations".ADVANCES IN MATHEMATICS 225.3(2010):1248-1284. |
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