On the location of critical point for the Poisson equation in plane

被引：1
|
作者：
Kim, Sun-Chul [1 ]
机构：
[1] Chung Ang Univ, Dept Math, Seoul 156756, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 321卷 / 01期
关键词：
critical point; location; vortex; level curve; stagnation point; UNIQUENESS; FLOWS;
D O I：
10.1016/j.jmaa.2005.07.070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The location of the unique critical point of Delta u = -1 is investigated by conformal mapping method in complex variables. It is found that if the domain is given by r = 1 + cp (0), the critical point coincides with the center of mass up to the order of E. However, the two do not exactly match in general as shown by simple examples. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：213 / 222
页数：10
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