KMS Of Academy of mathematics and systems sciences, CAS
| On the decay properties of solutions to the non-stationary Navier-Stokes equations in R-3 | |
| He, C; Xin, ZP | |
| 2001 | |
| Source Publication | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
 |
| ISSN | 0308-2105 |
| Volume | 131Pages:597-619 |
| Abstract | In this paper, we study the asymptotic decay properties in both spatial and temporal variables for a class of weak and strong solutions, by constructing the weak and strong solutions in corresponding weighted spaces. It is shown that, for the strong solution, the rate of temporal decay depends on the rate of spatial decay of the initial data. Such rates of decay are optimal. |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000169500300005 |
| Publisher | CAMBRIDGE UNIV PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/16244 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | He, C |
| Affiliation | 1.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 3.NYU, Courant Inst, New York, NY 10012 USA 4.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
| Recommended Citation GB/T 7714 | He, C,Xin, ZP. On the decay properties of solutions to the non-stationary Navier-Stokes equations in R-3[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,2001,131:597-619. |
| APA | He, C,&Xin, ZP.(2001).On the decay properties of solutions to the non-stationary Navier-Stokes equations in R-3.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,131,597-619. |
| MLA | He, C,et al."On the decay properties of solutions to the non-stationary Navier-Stokes equations in R-3".PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 131(2001):597-619. |
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