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On Heat Conduction in Domains Containing Noncoaxial Cylinders
Author(s) -
Dag Lukkassen,
Annette Meidell
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/856927
Subject(s) - thermal conduction , mathematics , heat flux , flux (metallurgy) , mathematical analysis , mechanics , classical mechanics , thermodynamics , physics , heat transfer , chemistry , organic chemistry
We consider heat conduction in domains containing noncoaxial cylinders. In particular, we present some regularity results for the solution and consider criteria which ensure the single valueness of the corresponding complex potential. Examples are discussed. In addition, we present some classes of cases where the parameters describing the solution are rational. Alternative ways of calculating the heat flux are also discussed.

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