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|Title: ||3D mappings by generalized joukowski transformations|
|Authors: ||Cruz, Carla|
Falcão, M. I.
Malonek, H. R.
|Keywords: ||Generalized Joukowski transformation|
Hypercomplex di erentiable functions
|Issue date: ||2011|
|Abstract: ||The classical Joukowski transformation plays an important role in di erent applications of conformal mappings,
in particular in the study of
ows 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
di erent geometric con gurations, but our approach is not restricted neither with respect to the dimension
nor to the order.|
|Publisher version: ||http://dx.doi.org/10.1007/978-3-642-21931-3_28|
|Appears in Collections:||DMA - Livros de actas|
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