DESINGULARIZATION OF VORTICES FOR TWO-DIMENSIONAL STEADY EULER FLOWS VIA THE VORTICITY METHOD
文献类型：期刊论文
| 作者 | Cao, Daomin1,2 ; Wang, Guodong3; Zhan, Weicheng1,2
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2020 |
| 卷号 | 52期号:6页码:5363-5388 |
| 关键词 | desingularization of vortices 2D Euler flow vorticity method nonlinear stability |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/19M1292151 |
| 英文摘要 | In this paper, we consider steady Euler flows in a planar bounded domain in which the vorticity is sharply concentrated in a finite number of disjoint regions of small diameter. Such flows are closely related to the point vortex model and can be regarded as desingularization of point vortices. By an adaption of the vorticity method, we construct a family of steady Euler flows in which the vorticity is concentrated near a global minimum point of the Robin function of the domain, and the corresponding stream function satisfies a semilinear elliptic equation with a given profile function. Furthermore, for any given isolated minimum point (x(1), ..., x(k)) of the Kirchhoff-Routh function of the domain, we prove that there exists a family of steady Euler flows whose vorticity is supported in k small regions near x(i), and near each x(i) the corresponding stream function satisfies a semilinear elliptic equation with a given profile function. |
| 资助项目 | NNSF of China[12001135] ; NNSF of China[11831009] ; China Postdoctoral Science Foundation[2019M661261] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000600695200002 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57876]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wang, Guodong |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Wang, Guodong,Zhan, Weicheng. DESINGULARIZATION OF VORTICES FOR TWO-DIMENSIONAL STEADY EULER FLOWS VIA THE VORTICITY METHOD[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2020,52(6):5363-5388. |
| APA | Cao, Daomin,Wang, Guodong,&Zhan, Weicheng.(2020).DESINGULARIZATION OF VORTICES FOR TWO-DIMENSIONAL STEADY EULER FLOWS VIA THE VORTICITY METHOD.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,52(6),5363-5388. |
| MLA | Cao, Daomin,et al."DESINGULARIZATION OF VORTICES FOR TWO-DIMENSIONAL STEADY EULER FLOWS VIA THE VORTICITY METHOD".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 52.6(2020):5363-5388. |
入库方式： OAI收割
来源：数学与系统科学研究院
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