Vortex patch problem for steady lake equation
文献类型：期刊论文
| 作者 | Cao, Daomin ; Qin, Guolin; Zou, Changjun2
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| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2022-06-01 |
| 卷号 | 63期号:6页码:25 |
| ISSN号 | 0022-2488 |
| DOI | 10.1063/5.0068782 |
| 英文摘要 | 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. |
| 资助项目 | NNSF of China[11831009] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000812570600003 |
| 出版者 | AIP Publishing |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61568]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zou, Changjun |
| 作者单位 | 1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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