Long time well-posedness of Prandtl system with small and analytic initial data
文献类型：期刊论文
| 作者 | Zhang, Ping1,2 ; Zhang, Zhifei3
|
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2016-04-01 |
| 卷号 | 270期号:7页码:2591-2615 |
| 关键词 | Prandtl system Littlewood-Paley theory Life-span Energy method |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2016.01.004 |
| 英文摘要 | In this paper, we investigate the long time existence and uniqueness of small solution to d, for d = 2,3, dimensional Prandtl system with small initial data which is analytic in the horizontal variables. In particular, we prove that d dimensional Prandtl system has a unique solution with the life-span of which is greater than epsilon(-4/3). if the initial data is of size epsilon and the value on the boundary of the tangential velocity of the outflow are of size epsilon(5/3). We mention that the tool developed in [4,5] to make the analytical type estimates and the special structure of the nonlinear terms to this system play an essential role in the proof of this result. (C) 2016 Elsevier Inc. All rights reserved. |
| 资助项目 | NSF of China[11371347] ; NSF of China[11371039] ; NSF of China[11421101] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences ; MCM |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000372212200008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22275]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, Ping |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Ping,Zhang, Zhifei. Long time well-posedness of Prandtl system with small and analytic initial data[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2016,270(7):2591-2615. |
| APA | Zhang, Ping,&Zhang, Zhifei.(2016).Long time well-posedness of Prandtl system with small and analytic initial data.JOURNAL OF FUNCTIONAL ANALYSIS,270(7),2591-2615. |
| MLA | Zhang, Ping,et al."Long time well-posedness of Prandtl system with small and analytic initial data".JOURNAL OF FUNCTIONAL ANALYSIS 270.7(2016):2591-2615. |
入库方式： OAI收割
来源：数学与系统科学研究院
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