Applications of Conformal map to Potential Theory and Fluid Mechanics

Abstract

Abstract In this work we study the theory of complex variables . Being motivated by the vast applications of this theory , we considered the analytical properties provided by the theory of complex functions in the field of electrostatics , Fluid mechanics and Harmonic analysis .We introduced the important theorems relating derivatives and integrals such as Cauchy integral formulas . We have also utilized conformal transformations in several applications such as solving Poisson equation