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Journal of Applied Mechanics and Technical Physics

, Volume 48, Issue 5, pp 629–632 | Cite as

Some types of kinetic equations reducible to partial differential equations

  • S. O. Gladkov
  • I. G. Tabakova
Article
  • 28 Downloads

Abstract

The possibility of passing from the kinetic equation to a partial differential equations is rigorously mathematically proved for the case of nearly elastic scattering processes. Some examples are considered.

Key words

diffusion quasi-elastic scattering Boltzmann equation Green function laws of conservation of energy and momentum photon, electron, phonon 

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References

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    L. Landau and E. Lifshits, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media, Pergamon, New York (1984).Google Scholar
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    I. M. Lifshits, M. Ya. Azbel’, and M. I. Kaganov, Electronic Theory of Metals [in Russian], Nauka, Moscow (1971).Google Scholar
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    S. O. Gladkov, Collection of Problems of Theoretical and Mathematical Physics [in Russian], Fizmatlit, Moscow (2006).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • S. O. Gladkov
    • 1
  • I. G. Tabakova
    • 1
  1. 1.Moscow State Regional UniversityMoscow

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