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Entropy change and the no-slip condition

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References

  1. Abraham S. Herman & Wendel J. Maegley, Internal ratified gas flows with backscattering. The Physics of Fluids. 15 (1972) 772–779.

    Google Scholar 

  2. Rudolph Binion, Hitler Among the Germans. Elsevier, New York, 1976.

    Google Scholar 

  3. Garrett Birkhoff, Hydrodynamics: A Study in Logic, Fact, and Similitude. Dover Publications, New York, 1955.

    Google Scholar 

  4. Carlo Cercignani, Mathematical Methods in Kinetic Theory. Plenum Press, New York, 1969.

    Google Scholar 

  5. C. Cercignani & M. Lampis, Kinetic models for gas-surface interactions. Transport Theory and Statistical Physics, 1 (1971) 101–114.

    Google Scholar 

  6. Frank O. Goodman & Harold Y. Wachman, Dynamics of Gas-Surface Scattering. Academic Press, New York, 1976.

    Google Scholar 

  7. Harold Grad, The many faces of entropy. Comm. Pure and Applied Math. 14 (1961) 323–354.

    Google Scholar 

  8. Harold Grad, Principles of the kinetic theory of gases. In: Handbuch der Physik, v. XII, S. Flügge, ed. Springer, Berlin, Göttingen, Heidelberg, 1958.

    Google Scholar 

  9. Shmuel Kaniel & Marvin Shinbrot, The Boltzmann equation, I : uniqueness and local existence. To appear in Comm. on Mathematical Physics.

  10. Oscar E. Lanford III, The classical mechanics of one-dimensional systems of infinitely many particles II. Kinetic theory. Comm. Math. Physics 11 (1969) 257–292.

    Google Scholar 

  11. M.J. Lighthill, Introduction. Real and ideal fluids. In: Laminar Boundary Layers, L. Rosenhead, ed. Oxford, 1963.

  12. James Clerk Maxwell, The Scientific Papers of James Clerk Maxwell. Cambridge University Press, Cambridge, 1890. See v. 2, p. 705ff.

    Google Scholar 

  13. R.A. Minlos, Lectures on statistical physics. Russ. Math. Surveys, 13 (1968) 137–196.

    Google Scholar 

  14. S. Richardson, On the no-slip boundary condition. J. Fluid Mech. 59 (1973) 707–719.

    Google Scholar 

  15. Jon Schnute, Entropy and kinetic theory for a confined gas. Canadian J. Math. 27 (1975) 1271–1315.

    Google Scholar 

  16. Jon Schnute & Marvin Shinbrot, Kinetic theory and boundary conditions for fluids. Canadian J. Math. 25 (1973) 1183–1215.

    Google Scholar 

  17. Marvin Shinbrot, Lectures on fluid mechanics. Gordon & Breach, New York, 1973.

    Google Scholar 

  18. M.N. States, The coefficient of viscosity of helium and the coefficients of slip of helium and oxygen by the constant deflection method. Phys. Rev. 21 (1923) 662–671.

    Google Scholar 

  19. G.G. Stokes, Mathematical and physical papers. Cambridge University Press, Cambridge, 1880. See pp. 96–98 of Volume 1.

    Google Scholar 

  20. C. Truesdell, The mechanical foundations of elasticity and fluid dynamics. J. Rational Mech. and Anal. 1 (1952) 125–300. See § 84.

    Google Scholar 

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  1. University of Victoria, V8W 2Y2, Victoria, B.C., Canada

    Marvin Shinbrot

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  1. Marvin Shinbrot
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Communicated by C. Truesdell

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Shinbrot, M. Entropy change and the no-slip condition. Arch. Rational Mech. Anal. 67, 351–363 (1978). https://doi.org/10.1007/BF00247664

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