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A generalised Milne-Thomson theorem for the case of an elliptical inclusion

Published online by Cambridge University Press:  13 February 2012

Yu. V. OBNOSOV  and
A. V. FADEEV
Yu. V. OBNOSOV
Affiliation:
Prof. Nughin Str., 1/37, Kazan 420008, Russia email: yobnosov@ksu.ru, afadeev@ksu.ru
A. V. FADEEV
Affiliation:
Prof. Nughin Str., 1/37, Kazan 420008, Russia email: yobnosov@ksu.ru, afadeev@ksu.ru
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Abstract

An ℝ-linear conjugation problem modelling the process of power fields forming in a heterogeneous infinite planar structure with an elliptical inclusion is considered. Exact analytical solutions are derived in the class of piece-wise meromorphic functions with their principal parts fixed. Cases with internal singularities and with singularities of the given principal parts at the interface are investigated.

Keywords

Heterogeneous mediumElliptic inclusionℝ-linear conjugation problemAnalytic functions
Type
Papers
Information
European Journal of Applied Mathematics , Volume 23 , Issue 4 , August 2012 , pp. 469 - 484
Copyright
Copyright © Cambridge University Press 2012

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