An elliptic problem related to planar vortex pairs
文献类型：期刊论文
| 作者 | Li, GB; Yan, SS; Yang, JF |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2005 |
| 卷号 | 36期号:5页码:1444-1460 |
| 关键词 | vortex ring free boundary problem |
| 英文摘要 | In this paper, we study the existence and limiting behavior of the mountain pass solutions of the elliptic problem - Delta u = lambda f( u - q( x)) in Omega subset of R-2; u = 0 on partial derivative Omega, where q is a positive harmonic function. We show that the "vortex core" A(lambda) = {x is an element of Omega : u(lambda)( x) > q( x)} of the solution u(lambda) shrinks to a global minimum point of q on the boundary partial derivative Omega as lambda --> +infinity. Furthermore, we show that for each strict local minimum x(0) point of q(x) on the boundary partial derivative Omega, there exists a solution u(lambda) whose vortex core shrinks to this strict local minimum point x(0) as lambda --> +infinity. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | IDEAL FLUID ; RINGS ; EXISTENCE |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000229475400006 |
| 公开日期 | 2015-07-28 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/4537]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 3.Univ New England, Sch Math Stat & Comp Sci, Armidale, NSW 2351, Australia |
| 推荐引用方式 GB/T 7714 | Li, GB,Yan, SS,Yang, JF. An elliptic problem related to planar vortex pairs[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2005,36(5):1444-1460. |
| APA | Li, GB,Yan, SS,&Yang, JF.(2005).An elliptic problem related to planar vortex pairs.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,36(5),1444-1460. |
| MLA | Li, GB,et al."An elliptic problem related to planar vortex pairs".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 36.5(2005):1444-1460. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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