| VORTEX STRUCTURES FOR SOME GEOMETRIC FLOWS FROM PSEUDO-EUCLIDEAN SPACES | |
Jiang, Ruiqi1; Wang, Youde2 ; Yang, Jun3,4
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| 2019-04-01 | |
| Source Publication | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
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| ISSN | 1078-0947 |
| Volume | 39Issue:4Pages:1745-1777 |
| Abstract | 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. |
| Keyword | Wave map equations Schrodinger flows Landau-Lifshitz equations Vortices |
| DOI | 10.3934/dcds.2019076 |
| Language | 英语 |
| Funding Project | Fundamental Research Funds for the Central Universities ; NSFC[11371254] ; NSFC[11671144] ; NSFC[11471316] ; NSFC[11731001] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000455398400005 |
| Publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/32167 |
| Collection | 数学所 |
| Corresponding Author | Yang, Jun |
| Affiliation | 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 |
| Recommended Citation 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. |
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