Asymptotics of the solution to the Neumann problem in a thin domain with sharp edge

被引：0
作者：
Nazarov S.A. [1 ]
Taskinen J. [2 ]
机构：
[1] Institute of Engineering Problems, St.Petersburg
[2] Department of Mathematics and Statistics, University of Helsinki, Helsinki
来源：
Journal of Mathematical Sciences | 2007年 / 142卷 / 6期
基金：
芬兰科学院; 俄罗斯基础研究基金会;
关键词：
Asymptotic Expansion; Dimension Reduction; Neumann Problem; Elliptic Boundary; Integral Identity;
D O I：
10.1007/s10958-007-0151-0
中图分类号：
学科分类号：
摘要：
An asymptotic expansion of the solution to the Neumann problem for a second-order equation in a thin domain with peak-like edge is constructed and justified. Owing to the sharpness of the edge, the procedure of dimension reduction leads to a degenerate limit equation on the longitudinal cross-section of the domain and a solution has irregular behavior near the boundary. Bibliography: 20 titles. © Springer Science+Business Media, Inc. 2007.
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收藏
页码：2630 / 2644
页数：14
相关论文
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