A domain of influence theorem in linear thermo-elasticity with thermal relaxation and internal variable

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Authors

  • V.A. Cimmelli Department of Mathematics, University of Basilicata, Campus Macchia Romana, Italy
  • P. Rogolino Department of Mathematics, University of Basilicata, Campus Macchia Romana, Italy

Abstract

A domain of influence theorem is proved for a linear thermoelastic solid with a Cattaneo's type heat conduction law and a scalar internal variable. The obtained result is applied to prove the hyperbolicity of a semiempirical heat conduction theory, describing the propagation of thermal waves in crystals at low temperatures.