Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation

doi:10.1016/j.jde.2021.07.026

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	Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation
	Cao, Daomin 1,2; Qin, Guolin2,3 ; Zhan, Weicheng 4; Zou, Changjun 2,3
	2021-10-25
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	299 页码:429-462
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.
DOI	10.1016/j.jde.2021.07.026
收录类别	SCI
语种	英语
资助项目	NNSF of China[11831009] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000686058600014
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59102
专题	应用数学研究所
通讯作者	Zou, Changjun
作者单位	1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, 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.