KMS Of Academy of mathematics and systems sciences, CAS
The initial boundary value problem for Navier-Stokes equations | |
He, C | |
1999-04-01 | |
Source Publication | ACTA MATHEMATICA SINICA-ENGLISH SERIES |
ISSN | 1439-8516 |
Volume | 15Issue:2Pages:153-164 |
Abstract | 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. |
Keyword | Navier-Stokes equations Stokes equations homogeneous boundary conditions nonhomogeneous boundary conditions |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000080256700002 |
Publisher | SPRINGER HEIDELBERG |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/14331 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | He, C |
Affiliation | Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China |
Recommended Citation 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. |
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