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Improved spatial decay bounds in generalized heat conduction

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Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Abstract.

This paper deals with heat conduction in a semi-infinite cylinder using the generalized Maxwell-Cattaneo equations. Spatial decay bounds for the temperature and heat flux under two different types of boundary conditions are derived. For fixed time it is shown that in each case the solutions decay in appropriate measure like the exponential of a quadratic function of the distance from the base of the cylinder, whereas in previous work they had been shown to decay only at least as fast as the exponential of a linear function.

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Authors and Affiliations

  1. Department of Mathematics, Cornell University, Ithaca, NY, 14853-4201, USA

    L. E. Payne

  2. Department of Mathematics, Hanyang University, Ansan, Kyunggido, 426-791, South Korea

    J. C. Song

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  1. L. E. Payne
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  2. J. C. Song
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Correspondence to J. C. Song.

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Received: January 13, 2004

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Payne, L.E., Song, J.C. Improved spatial decay bounds in generalized heat conduction. Z. angew. Math. Phys. 56, 805–820 (2005). https://doi.org/10.1007/s00033-005-4010-x

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  • DOI: https://doi.org/10.1007/s00033-005-4010-x

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