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On Heat Conduction in Domains Containing Noncoaxial Cylinders

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  • Dag Lukkassen
  • Annette Meidell

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.

Suggested Citation

  • Dag Lukkassen & Annette Meidell, 2012. "On Heat Conduction in Domains Containing Noncoaxial Cylinders," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-14, March.
    • Handle: RePEc:hin:jijmms:856927
    DOI: 10.1155/2012/856927
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