Hiroshima Mathematical Journal

On the Boltzmann equation for rough spherical molecules with internal energy

Hiroshi Murata

Full-text: Open access

Article information

Source
Hiroshima Math. J., Volume 6, Number 1 (1976), 191-205.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206136458

Digital Object Identifier
doi:10.32917/hmj/1206136458

Mathematical Reviews number (MathSciNet)
MR0395663

Zentralblatt MATH identifier
0341.76047

Subjects
Primary: 82.60

Citation

Murata, Hiroshi. On the Boltzmann equation for rough spherical molecules with internal energy. Hiroshima Math. J. 6 (1976), no. 1, 191--205. doi:10.32917/hmj/1206136458. https://projecteuclid.org/euclid.hmj/1206136458


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References

  • [1] L.Arkeryd, On the Boltzmann equation, Part I: Existence, Part II: Thefull initial value problem, Arch. Rational Mech. Anal. 45(1972), 1-16,17-34.
  • [2] T.Carleman, Problemes Mathematiques dans laTheorie Cinetique desGaz. Uppsala, 1957.
  • [3] S.Chapman and T.G.Cowling, TheMathematical Theory of Non-uniform Gases. Cambridge U.P.; 1sted.,1939;3rd ed., 1970.
  • [4] H. Murata and H.Tanaka, Aninequality forcertain functional of multidimensional probability distributions, Hiroshima Math. J.4 (1974), 75-81.
  • [5] F.B. Pidduck, The kinetic theory of a special type ofrigid molecule, Proc. Roy. Soc. A 101(1922), 101-112.
  • [6] A.Ya. Povzner, OntheBoltzmann's equation in the kinetic theory of gases,Mat. Sb. 58(1962), 63-86.
  • [7] H.Tanaka, OnBoltzmann's equation for gas of hard spheres (Povzner's proof in a simplified form), Kokyuroku, Res. nst. Math. Sci.Kyoto Univ. No. 174,1973, 1-20 (Japanese).