Local uniqueness for vortex patch problem in incompressible planar steady flow
文献类型：期刊论文
| 作者 | Cao, Daomin1,4 ; Guo, Yuxia5; Peng, Shuangjie2,3; Yan, Shusen2
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| 刊名 | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
 |
| 出版日期 | 2019-11-01 |
| 卷号 | 131页码:251-289 |
| 关键词 | Uniqueness Vortex parch Steady solutions Euler equation |
| ISSN号 | 0021-7824 |
| DOI | 10.1016/j.matpur.2019.05.011 |
| 英文摘要 | We investigate a steady planar flow of an ideal fluid in a bounded simply connected domain and focus on the vortex patch problem with prescribed vorticity strength. There are two methods to deal with the existence of solutions for this problem: the vorticity method and the stream function method. A long standing open problem is whether these two entirely different methods result in the same solution. In this paper, we will give a positive answer to this problem by studying the local uniqueness of the solutions. Another result obtained in this paper is that if the domain is convex, then the vortex patch problem has a unique solution. (C) 2019 Elsevier Masson SAS. All rights reserved. |
| 资助项目 | NNSF of China[11629101] ; Chinese Academy of Sciences[QYZDJSSW-SYS021] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000496337800009 |
| 出版者 | ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50615]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Cao, Daomin |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 2.Cent China Normal Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China 3.Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan, Hubei, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 5.Tsinghua Univ, Dept Math Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Guo, Yuxia,Peng, Shuangjie,et al. Local uniqueness for vortex patch problem in incompressible planar steady flow[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2019,131:251-289. |
| APA | Cao, Daomin,Guo, Yuxia,Peng, Shuangjie,&Yan, Shusen.(2019).Local uniqueness for vortex patch problem in incompressible planar steady flow.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,131,251-289. |
| MLA | Cao, Daomin,et al."Local uniqueness for vortex patch problem in incompressible planar steady flow".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 131(2019):251-289. |
入库方式： OAI收割
来源：数学与系统科学研究院
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