Asymptotics of the solution of Laplace's equation with third-type boundary conditions on the boundaries of two small holes

被引：0

作者：

Garifullina, S. R. ^{[1
]}

Postnikova, E. Yu. ^{[2
]}

机构：

[1] Bashkir State Univ, Ufa 450074, Bashkortostan, Russia

[2] Chelyabinsk State Univ, Chelyabinsk 454001, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2013年 / 53卷 / 11期

关键词：

asymptotic expansion; small parameter; boundary value problem for Laplace's equation; method of matched asymptotic expansions;

D O I：

10.1134/S0965542513110043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A boundary value problem for Laplace's equation in a bounded domain with two small holes is considered. Third-type boundary conditions are set on the boundaries of the holes. A Neumann condition is specified on the outer boundary of the domain. A uniform asymptotic approximation of the solution is constructed and justified up to an arbitrary power of a small parameter.

引用

页码：1591 / 1606

页数：16