References
Grad, H., Principles of The Kinetic Theory of Gases. Handbuch der Physik XII, p. 205. Springer Berlin-Heidelberg-Göttingen (1958).
Müller, I., Zur Ausbreitungsgeschwindigkeit von Störungen in kontinuierlichen Medien. Dissertation TH Aachen (1966).
Müller I., Zum, Paradox der Wärmeleitungstheorie. Zeitschrift f. Physik198, p. 329 (1967).
Truesdell, C., & R.Toupin, The Classical Field Theories. Handbuch der Physik III/1, Springer Berlin-Göttingen-Heidelberg (1960).
Liu, I-Shih, Method of Lagrange Multipliers for Exploitation of the Entropy Principle. Arch. Rational Mech. Anal.46, p. 131 (1972).
Friedrichs, K. D., & P. D.Lax, Systems of Conservation Equations with a Convex Extension. Proc. Nat. Acad. Sci.68, p. 1686–1688 (1971).
Smith, G. F., On Isotropic Integrity Bases. Arch. Rational Mech. Anal.18, p. 282 (1965).
Wang, C. C., A New Representation Theorem for Isotropic Functions: Answer to Professor G. F. Smith's Criticism of my Papers on Representations for Isotropic Functions. Part I: Scalar Valued Isotropic Functions. Arch. Rational Mech. Anal.36, p. 166 (1970).
Schrödinger, E., Statistical Thermodynamics. Cambridge Universities Press (1967).
Huang, K., Statistische Mechanik, B I Hochschultaschenbücher, Mannheim (1964).
de Groot, S. R., & J.Masur, Non Equilibrium Thermodynamics. North Holland Publ. Co. Amsterdam (1962).
Meixner, J., & H. G.Reik, Die Thermodynamik irreversibler Prozesse in kontinuierlichen Medien mit inneren Umwandlungen. Handbuch der Physik III/2, p. 417, Springer Berlin, Heidelberg, New York (1959).
Tisza, L., Nature141, p. 913 (1938).
Landau, L. D., The Theory of Superfluidity of Helium II. J. Phys.5, p. 71 (1941).
Carrassi, M., & A.Morro, A Modified Navier-Stokes Equation and its Consequences on Sound Dispersion. Il Nuovo Cimento93, p. 321 (1972).
Anile, M., & S.Pluchino, Linear Wave Modes for Dissipative Fluids with Rate-Type Constitutive Equations (private communication, in preparation).
Chapman, S., & T. G.Cowling, The Mathematical Theory of Non-uniform Gases. Cambridge Universities Press (1961).
Ikenberry, E., & C.Truesdell, On the Pressures and the Flux of Energy in a Gas according to Maxwell's Kinetic Theory I. J. Rational Mech. Anal.5, p. 1 (1956).
Sommerfeld, A., Vorlesungen über Theoretische Physik, Thermodynamik und Statistik. Dietrich'sche Verlagsbuchhandlung, Wiesbaden (1952).
Truesdell, C., & W.Noll, The Non-Linear Field Theories of Mechanics. Handbuch der Physik III/3. Springer Berlin, Heidelberg, New York (1965).
Müller, I., On the Frame Dependence of Stress and Heat Flux. Arch. Rational Mech. Anal.45, p. 241 (1972).
Heckl, M., & I.Müller, Frame Dependence, Entropy, Entropy Flux and Wave Speeds in Mixtures of Gases (submitted to Acta Mechanica).
Greco, A., & I.Müller, Extended Thermodynamics and Superfluidity. Arch. Rational Mech. Anal., forthcoming.
Ruggeri, T., Symmetric Hyperbolic System of Conservative Equations for a Viscous Heat Conducting Fluid. Acta Mechanica47, p. 167 (1983).
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For J. L. Ericksen on his 60th Birthday
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Liu, IS., Müller, I. Extended thermodynamics of classical and degenerate ideal gases. Arch. Rational Mech. Anal. 83, 285–332 (1983). https://doi.org/10.1007/BF00963838
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DOI: https://doi.org/10.1007/BF00963838