COMPLEX FUNCTIONS AND THEIR CONFORMAL DESCRIPTION IN PHYSICS
DOI:
https://doi.org/10.5281/zenodo.15309723Keywords:
Complex functions, conformal mapping, Joukowski transformation, physical modeling, Laplace invariance, aerodynamics, electrostatics.Abstract
This article analyzes the theory of complex functions and their role in conformal mapping processes in physics. The fundamental properties of conformal mappings are discussed, highlighting the ability to transform complex-shaped physical domains into simpler geometric forms. The Joukowski transformation is analyzed based on graphical representation, emphasizing its practical significance in fields such as aerodynamics and electrostatics. Through table and graphical analyses, the importance of conformal mappings in modeling physical processes is revealed.
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Olver, P. J. (2017). Complex analysis and conformal mapping. University of Minnesota, 806.
Solodukhin, S. N. (1999). Conformal description of horizon's states. Physics Letters B, 454(3-4), 213-222.
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