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Maximum and Minimum Properties of the Temperature Within the Dynamic Theory

  • William Alan Day
Chapter
  • 157 Downloads
Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 30)

Abstract

The considerations of Chapter 2 tell us that, within the quasi-static theory of thermoelasticity which is obtained by omitting the inertial term b∂2u/∂t2 from the thermoelastic equation (1.1.2), the temperature does not satisfy the classical Maximum Principle. The same is true, with even greater force, of the dynamic theory, that is the theory which results when the inertial term is retained and the full thermoelastic equations (1.1.1) and (1.1.2) are used to determine the temperature.

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Copyright information

© Springer-Verlag New York Inc. 1985

Authors and Affiliations

  • William Alan Day
    • 1
  1. 1.Mathematical InstituteUniversity of OxfordOxfordEngland

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