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Stationary Boltzmann equation for a degenerate gas in a slab: Boundary value problem and hydrodynamics

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Abstract

The boundary value problem for the stationary Boltzmann equation for a model gas in a plane slab is solved in full generality. The asymptotic behavior as the size of the slab goes to infinity is studied via a Chapman-Enskog expansion.

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References

  1. J. L. Lebowitz and H. L. Frisch,Phys. Rev. 107:917 (1957).

    Google Scholar 

  2. C. Bardos, R. Caflish, and B. Nicolaenko, inStatistical Physics and Dynamical Systems, J. Fritz, A. Jaffe, and D. Szasz, eds. (Birkhauser, Boston, 1985).

    Google Scholar 

  3. N. Ianiro and J. L. Lebowitz,Found. Phys. 15:531 (1985).

    Google Scholar 

  4. R. Caflish, inNonequilibrium Phenomena I: The Boltzmann Equation, J. L. Lebowitz and E. W. Montroll, eds. (North-Holland, Amsterdam, 1983), pp. 193–223.

    Google Scholar 

  5. J. L. Lebowitz and H. Spohn,J. Stat. Phys. 28:539 (1982).

    Google Scholar 

  6. P. Resibois,Physica 9A:273 (1978).

    Google Scholar 

  7. A. Bensoussan, J. Lions, and G. Papanicolaou,Publ. RIMS Kyoto Univ. 15:53 (1979).

    Google Scholar 

  8. C. Cercignani,J. Math. Phys. 8:1653 (1967).

    Google Scholar 

  9. Y. P. Pao,J. Math. Phys. 8:1893 (1967).

    Google Scholar 

  10. C. Cercignani and A. Palczewski,J. Stat. Phys. 46:273 (1987).

    Google Scholar 

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Ianiro, N., Triolo, L. Stationary Boltzmann equation for a degenerate gas in a slab: Boundary value problem and hydrodynamics. J Stat Phys 51, 677–690 (1988). https://doi.org/10.1007/BF01028478

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  • DOI: https://doi.org/10.1007/BF01028478

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