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Similarity solutions for high frequency excitation of liquid metal in an antisymmetric magnetic field
B. Brighi 1, J. -D. Hoernel 2
(2005)

The aim of this paper is to investigate, as precisely as possible, a boundary value problem involving a third order ordinary differential equation. Its solutions are the similarity solutions of a problem arising in the study of the phenomenon of high frequency excitation of liquid metal systems in an antisymmetric magnetic field within the framework of boundary layer approximation.
1:  Laboratoire de Mathématiques Informatique et Applications (LMIA)
Université de Haute Alsace - Mulhouse
2:  Department of Mathematics (TECHNION)
Technion - Israel Institute of Technology
Mathematics/Classical Analysis and ODEs
Third order differential equations – boundary value problems – plane dynamical systems – blowing-up co-ordinates
Fulltext link: 
http://fr.arXiv.org/abs/math/0603028