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

作者：Garifullina S R^*; Postnikova E Yu

来源：Computational Mathematics and Mathematical Physics, 2013, 53(11): 1591-1606.

DOI：10.1134/S0965542513110043

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

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.

• 出版日期2013-11