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

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


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


Cauchy Problem Boltzmann Equation Strong Solution Mild Solution Local Existence 
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    C. Cercignani, Theory and Application of the Boltzmann Equation, Scottish Academic Press, 1975.Google Scholar
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    S. Kaniel, M. Shinbrot, The Boltzmann equation. Uniqueness and local existence, Comm. Math. Phys. 58 (1978), 65–84.ADSMathSciNetCrossRefzbMATHGoogle Scholar
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    N.B. Maslova, R.P. Tchubenko, Solutions of the nonstationary Boltzmann equation (in Russia), Vestnik Len. Univ. 1973 nr. 19, 100–105.MathSciNetGoogle Scholar
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    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

  1. 1.Institute of MechanicsUniversity of WarsawWarsaw

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