The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions
文献类型：期刊论文
| 作者 | Chen, Yemin; Zhang, Ping
|
| 刊名 | COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2006-12-01 |
| 卷号 | 31期号:12页码:1793-1810 |
| 关键词 | blow up principle global small solutions Oldroyd model |
| ISSN号 | 0360-5302 |
| DOI | 10.1080/03605300600858960 |
| 英文摘要 | In this article, we study the Cauchy problem of the viscoelastic fluid system of Oldroyd model in space dimension greater than 1. In particular, we prove that if the smooth solution (U, nu >) to this system blows up at some finite time T*, then it is necessary that integral(t*)(0) parallel to del nu(t)parallel to dt = infinity. Furthermore, we prove the global existence of smooth solutions to this system provided that initial data is sufficiently close to the equilibrium state. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000241854700003 |
| 出版者 | TAYLOR & FRANCIS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2707]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, Ping |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Yemin,Zhang, Ping. The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2006,31(12):1793-1810. |
| APA | Chen, Yemin,&Zhang, Ping.(2006).The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,31(12),1793-1810. |
| MLA | Chen, Yemin,et al."The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 31.12(2006):1793-1810. |
入库方式： OAI收割
来源：数学与系统科学研究院
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