VORTEX STRUCTURES FOR SOME GEOMETRIC FLOWS FROM PSEUDO-EUCLIDEAN SPACES

doi:10.3934/dcds.2019076

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	VORTEX STRUCTURES FOR SOME GEOMETRIC FLOWS FROM PSEUDO-EUCLIDEAN SPACES
	Jiang, Ruiqi 1; Wang, Youde2 ; Yang, Jun 3,4
	2019-04-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	39 期号:4 页码:1745-1777
摘要	For some geometric flows (such as wave map equations, Schrodinger flows) from pseudo-Euclidean spaces to a unit sphere contained in a three-dimensional Euclidean space, we construct solutions with various vortex structures (vortex pairs, elliptic/hyperbolic vortex circles, and also elliptic vortex helices). The approaches base on the transformations associated with the symmetries of the nonlinear problems, which will lead to two-dimensional elliptic problems with resolution theory given by the finite-dimensional Lyapunov-Schmidt reduction method in nonlinear analysis.
关键词	Wave map equations Schrodinger flows Landau-Lifshitz equations Vortices
DOI	10.3934/dcds.2019076
语种	英语
资助项目	Fundamental Research Funds for the Central Universities ; NSFC[11371254] ; NSFC[11671144] ; NSFC[11471316] ; NSFC[11731001]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000455398400005
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32167
专题	数学所
通讯作者	Yang, Jun
作者单位	1.Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China 2.Guangzhou Univ, Coll Math & Informat Sci, Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China 4.Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Ruiqi,Wang, Youde,Yang, Jun. VORTEX STRUCTURES FOR SOME GEOMETRIC FLOWS FROM PSEUDO-EUCLIDEAN SPACES[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2019,39(4):1745-1777.
APA	Jiang, Ruiqi,Wang, Youde,&Yang, Jun.(2019).VORTEX STRUCTURES FOR SOME GEOMETRIC FLOWS FROM PSEUDO-EUCLIDEAN SPACES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,39(4),1745-1777.
MLA	Jiang, Ruiqi,et al."VORTEX STRUCTURES FOR SOME GEOMETRIC FLOWS FROM PSEUDO-EUCLIDEAN SPACES".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 39.4(2019):1745-1777.