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Cauchy Problems of Hyperbolic Heat-Conduction Equations

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Heat Conduction
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Abstract

In this chapter we apply the Riemann method, integral transformations and the method of spherical means to solve Cauchy problems of hyperbolic heat-conduction equations of one-, two- and three-dimensions. The emphasis is placed on the physics and the methods of measuring τ0 following the solutions of Cauchy problems. A comparison is also made with wave equations and classical heat-conduction equations.

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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). Cauchy Problems of Hyperbolic Heat-Conduction Equations. In: Heat Conduction. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74303-3_5

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  • DOI: https://doi.org/10.1007/978-3-540-74303-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74028-5

  • Online ISBN: 978-3-540-74303-3

  • eBook Packages: EngineeringEngineering (R0)

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