International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 856927, 14 pages
http://dx.doi.org/10.1155/2012/856927
Research Article

On Heat Conduction in Domains Containing Noncoaxial Cylinders

Dag Lukkassen1,2 and Annette Meidell1,2

1Narvik University College, P.O. Box 385, 8505 Narvik, Norway
2Norut Narvik, P.O. Box 250, 8504 Narvik, Norway

Received 28 November 2011; Accepted 16 January 2012

Academic Editor: Adolfo Ballester-Bolinches

Copyright © 2012 Dag Lukkassen and Annette Meidell. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.