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On Heat Conduction in Domains Containing Noncoaxial Cylinders

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.

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Category

Academic article

Language

English

Author(s)

  • Dag Lukkassen
  • Annette Meidell

Affiliation

  • SINTEF Narvik
  • UiT The Arctic University of Norway

Year

2012

Published in

International Journal of Mathematics and Mathematical Sciences

ISSN

0161-1712

Volume

2012

View this publication at Norwegian Research Information Repository