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The cauchy problem for the Boltzmann equation. A survey of recent results

  • Andrzej Palczewski
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1048)

Abstract

The initial value problem for the Boltzmann equation is discussed. A survey of last decade results is presented.

Keywords

Cauchy Problem Boltzmann Equation Strong Solution Mild Solution Local Existence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    C. Cercignani, Theory and Application of the Boltzmann Equation, Scottish Academic Press, 1975.Google Scholar
  2. [2]
    S. Kaniel, M. Shinbrot, The Boltzmann equation. Uniqueness and local existence, Comm. Math. Phys. 58 (1978), 65–84.ADSMathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    N.B. Maslova, R.P. Tchubenko, Solutions of the nonstationary Boltzmann equation (in Russia), Vestnik Len. Univ. 1973 nr. 19, 100–105.MathSciNetGoogle Scholar
  4. [4]
    A. Palczewski, Local existence theorem for the Boltzmann equation in L1, Arch. of Mech., 33 (1981), 973–981.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Andrzej Palczewski
    • 1
  1. 1.Institute of MechanicsUniversity of WarsawWarsaw

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