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On a Problem of an Infinite Plate with a Curvilinear Hole inside the Unit Circle
Department of Mathematics, Faculty of Science, Taif University, Taif, KSA
Department of Mathematics, Faculty of Science, Taif University, Taif, KSA
- 1 Department of Mathematics, Faculty of Science, Taif University, Taif, KSA
- 2 Department of Mathematics, Faculty of Science, Taif University, Taif, KSA
Applied Mathematics·Volume 06 (2015)·Pages 206–220·Published 7 January 2015·DOI10.4236/am.2015.61020
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Abstract
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.
KeywordsComplex Variable MethodAn Infinite PlateCurvilinear HoleConformal MappingGoursat Functions
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