Advertisement

On a theory of heat conduction involving two temperatures

  • Peter J. Chen
  • Morton E. Gurtin
Original Papers

Keywords

Heat Conduction Mathematical Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Zusammenfassung

In dieser Arbeit entwickeln wir eine neue Theorie der Wärmeleitung. Diese Theorie, in der zwei Temperaturen auftreten, beseitigt einige Pathologien der klassischen Theorie.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1960]Barenblatt, G. I., Iu. P. Zheltov andI. N. Kochina,Basic Concepts in the Theory of Seepage of Homogeneous Liquids in Fissured Rocks (Strata), PMM24, 1286–1303 (Transl. of Priklad. Mat. Mekh.24, 852–864).Google Scholar
  2. [Coleman, B. D. andW. Noll,An Approximation Theorem for Functionals, with Applications in Continuum Mechanics, Arch. Rational Mech. Anal.6, 355–370.Google Scholar
  3. [Truesdell, C. andR. A. Toupin,The Classical Field Theories, Handbuch der Physik (S. Flügge, ed.) III/1, 226–793, Springer, Berlin.Google Scholar
  4. [1963]Coleman, B. D. andV. Mizel,Thermodynamics and Departures from Fourier's Law of Heat Conduction, Arch. Rational Mech. Anal.13, 245–261.Google Scholar
  5. [Ting, T. W.,Certain Non-steady Flows of Second-order Fluids, Arch. Rational Mech. Anal.14, 1–26.Google Scholar
  6. [1964]Markovitz, H. andB. D. Coleman,Incompressible Second-order Fluids, Adv. Appl. Mech.8, 69–101.Google Scholar
  7. [Markovitz, H. andB. D. Coleman,Nonsteady Helical Flows of Second-order Fluids, Phys. Fluids7, 833–841.Google Scholar
  8. [Truesdell, C.,The Natural Time of a Visco-elastic Fluid: Its Significance and Measurement, Phys. Fluids7, 1134–1142.Google Scholar
  9. Truesdell, C.,Second-order Effects in the Mechanics of Materials, Proc. Intl. Sympos. Second-order Effects, Haifa 1962, 1–47.Google Scholar
  10. [1965]Coleman, B. D., R. J. Duffin andV. J. Mizel,Instability, Uniqueness and Non-existence Theorems for the Equation u t=u xxu xtx on a Strip, Arch. Rational Mech. Anal.19, 100–116.Google Scholar
  11. [Truesdell, C. andW. Noll,The Non-linear Field Theories of Mechanics, Handbuch der Physik (S. Flügge, ed.) III/3, Springer, Berlin.Google Scholar
  12. [1966]Gurtin, M. E. andW. O. Williams,On the Clausius-Duhem Inequality, Z. angew. Math. Phys.17, 626–633.Google Scholar
  13. [1967]Coleman, B. D., private communication.Google Scholar
  14. [Gurtin, M. E. andW. O. Williams,An Axiomatic Foundation for Continuum Thermodynamics, Arch. Rational Mech. Anal.26, 83–117.Google Scholar
  15. [Müller, I.,On the Entropy Inequality, Arch. Rational Mech. Anal.26, 118–141.Google Scholar

Copyright information

© Birkhäuser Verlag 1968

Authors and Affiliations

  • Peter J. Chen
    • 1
  • Morton E. Gurtin
    • 2
  1. 1.Sandia LaboratoryAlbuquerqueUSA
  2. 2.Carnegie-Mellon UniversityPittsburghUSA

Personalised recommendations