Zusammenfassung
In dieser Arbeit entwickeln wir eine neue Theorie der Wärmeleitung. Diese Theorie, in der zwei Temperaturen auftreten, beseitigt einige Pathologien der klassischen Theorie.
References
[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).
[Coleman, B. D. andW. Noll,An Approximation Theorem for Functionals, with Applications in Continuum Mechanics, Arch. Rational Mech. Anal.6, 355–370.
[Truesdell, C. andR. A. Toupin,The Classical Field Theories, Handbuch der Physik (S. Flügge, ed.) III/1, 226–793, Springer, Berlin.
[1963]Coleman, B. D. andV. Mizel,Thermodynamics and Departures from Fourier's Law of Heat Conduction, Arch. Rational Mech. Anal.13, 245–261.
[Ting, T. W.,Certain Non-steady Flows of Second-order Fluids, Arch. Rational Mech. Anal.14, 1–26.
[1964]Markovitz, H. andB. D. Coleman,Incompressible Second-order Fluids, Adv. Appl. Mech.8, 69–101.
[Markovitz, H. andB. D. Coleman,Nonsteady Helical Flows of Second-order Fluids, Phys. Fluids7, 833–841.
[Truesdell, C.,The Natural Time of a Visco-elastic Fluid: Its Significance and Measurement, Phys. Fluids7, 1134–1142.
Truesdell, C.,Second-order Effects in the Mechanics of Materials, Proc. Intl. Sympos. Second-order Effects, Haifa 1962, 1–47.
[1965]Coleman, B. D., R. J. Duffin andV. J. Mizel,Instability, Uniqueness and Non-existence Theorems for the Equation u t =u xx −u xtx on a Strip, Arch. Rational Mech. Anal.19, 100–116.
[Truesdell, C. andW. Noll,The Non-linear Field Theories of Mechanics, Handbuch der Physik (S. Flügge, ed.) III/3, Springer, Berlin.
[1966]Gurtin, M. E. andW. O. Williams,On the Clausius-Duhem Inequality, Z. angew. Math. Phys.17, 626–633.
[1967]Coleman, B. D., private communication.
[Gurtin, M. E. andW. O. Williams,An Axiomatic Foundation for Continuum Thermodynamics, Arch. Rational Mech. Anal.26, 83–117.
[Müller, I.,On the Entropy Inequality, Arch. Rational Mech. Anal.26, 118–141.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chen, P.J., Gurtin, M.E. On a theory of heat conduction involving two temperatures. Journal of Applied Mathematics and Physics (ZAMP) 19, 614–627 (1968). https://doi.org/10.1007/BF01594969
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01594969