KMS Of Academy of mathematics and systems sciences, CAS
| Vortex patch problem for steady lake equation | |
Cao, Daomin ; Qin, Guolin; Zou, Changjun1
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| 2022-06-01 | |
| Source Publication | JOURNAL OF MATHEMATICAL PHYSICS
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| ISSN | 0022-2488 |
| Volume | 63Issue:6Pages:25 |
| Abstract | We study the vortex patch problem for the steady lake equation in a bounded domain and construct three different kinds of solutions where the vorticity concentrates in the domain or near the boundary. Our approach is based on the Lyapunov-Schmidt reduction, which transforms the construction into a problem of seeking critical points for a function related to the kinetic energy. The method in this paper has a wide applicability and can be used to deal with general elliptic equations in divergence form with Heaviside nonlinearity. Published under an exclusive license by AIP Publishing. |
| DOI | 10.1063/5.0068782 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NNSF of China[11831009] |
| WOS Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| WOS ID | WOS:000812570600003 |
| Publisher | AIP Publishing |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/61569 |
| Collection | 应用数学研究所 |
| Corresponding Author | Zou, Changjun |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Cao, Daomin,Qin, Guolin,Zou, Changjun. Vortex patch problem for steady lake equation[J]. JOURNAL OF MATHEMATICAL PHYSICS,2022,63(6):25. |
| APA | Cao, Daomin,Qin, Guolin,&Zou, Changjun.(2022).Vortex patch problem for steady lake equation.JOURNAL OF MATHEMATICAL PHYSICS,63(6),25. |
| MLA | Cao, Daomin,et al."Vortex patch problem for steady lake equation".JOURNAL OF MATHEMATICAL PHYSICS 63.6(2022):25. |
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