A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape.
Krutitskii, P.A., Krutitskaya, N.Ch., Malysheva, G.Yu. (1999)
Mathematical Problems in Engineering
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Krutitskii, P.A., Krutitskaya, N.Ch., Malysheva, G.Yu. (1999)
Mathematical Problems in Engineering
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Oliver, Douglas, Giles, Sammie (2000)
Mathematical Problems in Engineering
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Kudryashov, Vladimir V., Vanne, Yulian V. (2002)
Journal of Applied Mathematics
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Nicole Turbe, Louis Ratier (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We study the propagation of electromagnetic waves in a guide the section of which is a thin annulus. Owing to the presence of a small parameter, explicit approximations of the TM and TE eigenmodes are obtained. The cases of smooth and non smooth boundaries are presented.
Slavova, Angela (1995)
Mathematical Problems in Engineering
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J. Boersma (1964)
Compositio Mathematica
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Chatterjee, Lali, Bhattacharyya, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Gajewski, Herbert (1979)
International Journal of Mathematics and Mathematical Sciences
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R Alexandre, C Villani (2004)
Annales de l'I.H.P. Analyse non linéaire
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