期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1994
卷号：17
DOI：10.1155/S0161171294000177
出版社：Hindawi Publishing Corporation
摘要：The electrostatic problem of a nearly circular disk charged to a unit potential is considered for its solution as it serves as the most important and symbolic mixed boundary value problem for Laplace's equation with the aid of which many complicated mixed boundary value problems arising in elasticity and fluid dynamics can be handled for solution. The method used involves the utility of Green's second identity, Abel's integral equations and their inversions, along with a suitably designed perturbation scheme involving the small parameter ϵ(>0) occurring in the geometrical representation of the boundary of the nearly circular disk.
