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heterogeneous medium

European Journal of Applied Mathematics (1)

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1 results

A generalised Milne-Thomson theorem for the case of an elliptical inclusion
Yu. V. OBNOSOV, A. V. FADEEV
Journal:

European Journal of Applied Mathematics / Volume 23 / Issue 4 / August 2012

Published online by Cambridge University Press:

13 February 2012, pp. 469-484
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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.