Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation
文献类型：期刊论文
| 作者 | Cao, Daomin3,4; Qin, Guolin2,3 ; Zhan, Weicheng1; Zou, Changjun2,3
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| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
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| 出版日期 | 2021-10-25 |
| 卷号 | 299页码:429-462 |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2021.07.026 |
| 英文摘要 | By studying the linearization of contour dynamics equation and using implicit function theorem, we prove the existence of co-rotating and traveling-wave vortex solutions for the gSQG equation, which extends the result of Hmidi and Mateu [28] to alpha is an element of [1, 2). Moreover, we obtain the C-infinity regularity of vortices boundary and the convexity of each vortices component. (C) 2021 Elsevier Inc. All rights reserved. |
| 资助项目 | NNSF of China[11831009] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000686058600014 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59101]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zou, Changjun |
| 作者单位 | 1.Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 4.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Qin, Guolin,Zhan, Weicheng,et al. Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2021,299:429-462. |
| APA | Cao, Daomin,Qin, Guolin,Zhan, Weicheng,&Zou, Changjun.(2021).Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation.JOURNAL OF DIFFERENTIAL EQUATIONS,299,429-462. |
| MLA | Cao, Daomin,et al."Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation".JOURNAL OF DIFFERENTIAL EQUATIONS 299(2021):429-462. |
入库方式： OAI收割
来源：数学与系统科学研究院
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