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

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Part of the Lecture Notes in Mathematics book series (LNMCIME,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

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References

  1. C. Cercignani, Theory and Application of the Boltzmann Equation, Scottish Academic Press, 1975.

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  2. S. Kaniel, M. Shinbrot, The Boltzmann equation. Uniqueness and local existence, Comm. Math. Phys. 58 (1978), 65–84.

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  3. N.B. Maslova, R.P. Tchubenko, Solutions of the nonstationary Boltzmann equation (in Russia), Vestnik Len. Univ. 1973 nr. 19, 100–105.

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  4. A. Palczewski, Local existence theorem for the Boltzmann equation in L1, Arch. of Mech., 33 (1981), 973–981.

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© 1984 Springer-Verlag

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Palczewski, A. (1984). The cauchy problem for the Boltzmann equation. A survey of recent results. In: Cercignani, C. (eds) Kinetic Theories and the Boltzmann Equation. Lecture Notes in Mathematics, vol 1048. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071882

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  • DOI: https://doi.org/10.1007/BFb0071882

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12899-1

  • Online ISBN: 978-3-540-38777-0

  • eBook Packages: Springer Book Archive