"Complex variables and conformal mapping applications in fluid flow dynamics"

Abstract

Transformations in complex analysis can lead to geometric representations of vector fields on the complex plan. These interpretations can be quite helpful in the analysis of functions of complex variables. Many of the functions treated will be applications of harmonic functions. Specific topics addressed in the presentation will include two-dimensional fluid flows, Polya-Latta vector fields, and the Joukowski airfoil. In addition to the main focus of hydrodynamics and fluid flow, interesting results in computer graphics and hydrodynamics will also be presented.