The initial boundary value problem for Navier-Stokes equations
文献类型：期刊论文
| 作者 | He, C |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 1999-04-01 |
| 卷号 | 15期号:2页码:153-164 |
| 关键词 | Navier-Stokes equations Stokes equations homogeneous boundary conditions nonhomogeneous boundary conditions |
| ISSN号 | 1439-8516 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000080256700002 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14330]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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