On a Problem of an Infinite Plate with a Curvilinear Hole inside the Unit Circle

• 作者: B. M. Alharbi F. S. Bayones
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Complex Variable Method AN INFINITE Plate Curvilinear HOLE CONFORMAL Mapping Goursat FUNCTIONS
• 年，卷（期）: yysxyw_2015,（1）
• 页码范围: 206-220
• 页数: 15页
• 分类号: O1

摘要

In this work, we used the complex variable methods to derive the Goursat functions for the first and second fundamental problem of an infinite plate with a curvilinear hole C. The hole is mapped in the domain inside a unit circle by means of the rational mapping function. Many special cases are discussed and established of these functions. Also, many applications and examples are considered. The results indicate that the infinite plate with a curvilinear hole inside the unit circle is very pronounced.