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Title: 3D mappings by generalized Joukowski transformations
Author: Cruz, Carla
Falcão, Maria Irene
Malonek, Helmuth Robert
Keywords: Generalized Joukowski transformation
Quasi-conformal mappings
Hypercomplex differentiable functions
Issue Date: 2011
Publisher: Springer Berlin Heidelberg
Abstract: The classical Joukowski transformation plays an important role in different applications of conformal mappings, in particular in the study of flows around the so-called Joukowski airfoils. In the 1980s H. Haruki and M. Barran studied generalized Joukowski transformations of higher order in the complex plane from the view point of functional equations. The aim of our contribution is to study the analogue of those generalized Joukowski transformations in Euclidean spaces of arbitrary higher dimension by methods of hypercomplex analysis. They reveal new insights in the use of generalized holomorphic functions as tools for quasi-conformal mappings. The computational experiences focus on 3D-mappings of order 2 and their properties and visualizations for different geometric configurations, but our approach is not restricted neither with respect to the dimension nor to the order.
Peer review: yes
DOI: 10.1007/978-3-642-21931-3_28
ISBN: 978-3-642-21930-6
ISSN: 0302-9743
Appears in Collections:CIDMA - Comunicações

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