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On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases

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References

  • 1935 Burnett, D., The distribution of molecular velocities and the mean motion in a non-uniform gas. Proc. Lond. Math. Soc. 40, 382–435.

    Google Scholar 

  • 1956 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, 1–54.

    Google Scholar 

  • 1958 Noll, W., A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2, 197–226.

    Google Scholar 

  • 1965 Truesdell, C., & W. Noll, The Non-linear Field Theories. In Handbuch der Physik, Vol. III/3 (ed. S. Flügge) Berlin-Heidelberg-New York: Springer.

    Google Scholar 

  • 1970 Chapman, S., & T. G. Cowling, The Mathematical Theory of Non-Uniform Gases (Revised Third Edition) London: Cambridge University.

    Google Scholar 

  • 1972 Müller, L, On the frame dependence of stress and heat flux. Arch. Rational Mech. Anal. 45, 241–250.

    Google Scholar 

  • 1973 Edelen, D. G. B., & J. A. McLennan, Material indifference: a principle or a convenience. Int. J. Eng. Sc. 11, 813–817.

    Google Scholar 

  • 1973 Noll, W., Lectures on the foundations of continuum mechanics and thermodynamics. Arch. Rational Mech. Anal. 52, 62–92.

    Google Scholar 

  • 1974 Roberts, P. H., & R. J. Donnelly, Superfluid mechanics. In Annual Review of Fluid Mechanics Vol. 6 (ed. M. van Dyke, W. G. Vincenti, & J. V. Wehausen) Palo Alto: Annual Reviews.

    Google Scholar 

  • 1975 Wang, C. C., On the concept of frame-indifference in continuum mechanics and in the kinetic theory of gases. Arch. Rational Mech. Anal. 58, 381–393.

    Google Scholar 

  • 1976 Söderholm, L. H., The principle of material frame-indifference and material equations of gases. Int. J. Eng. Sc. 14, 523–528.

    Google Scholar 

  • 1976 Truesdell, C., Correction of two errors in the kinetic theory of gases which have been used to cast unfounded doubt upon the principle of material frame-indifference. Meccanica 11, 196–199.

    Google Scholar 

  • 1977 Hills, R. N., & P. H. Roberts, Superfluid mechanics for a high density of vortex lines. Arch. Rational Mech. Anal. 66, 43–71.

    Google Scholar 

  • 1977 Truesdell, C., A First Course in Rational Continuum Mechanics. New York-San Francisco-London: Academic Press.

    Google Scholar 

  • 1981 Speziale, G., On frame-indifference and iterative procedures in the kinetic theory of gases. Int. J. Eng. Sc. 19, 63–73.

    Google Scholar 

  • 1981 Woods, L. C., The bogus axioms of continuum mechanics. Bull. Inst. Math. Applications 17, 98–102.

    Google Scholar 

  • 1982 Murdoch, A. I., On material frame-indifference. Proc. R. Soc. Lond. A 380, 417–426.

    Google Scholar 

  • 1983 Murdoch, A. I., The motivation of continuum concepts and relations from discrete considerations. To appear in Q. J. Mech. Appl. Math.

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Communicated by M. E. Gurtin

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Murdoch, A.I. On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases. Arch. Rational Mech. Anal. 83, 185–194 (1983). https://doi.org/10.1007/BF00282161

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