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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 93))

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Abstract

The Boltzmann equation is a nonlinear integro-differential equation not solvable in a closed analytical form for realistic potential models. Therefore the Boltzmann equation and the generic Boltzmann equation in general must be solved by an approximation method. To prepare ourselves for approximate solutions, for a class of approximation methods, and for the nonequilibrium ensemble method we discuss some mathematical tools used in developing the theory intended in this work. The discussion will be confined only to what is needed for our aim.

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References

  1. H. Grad, Comm. Pure Appl. Math. 2, 325 (1949).

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© 1998 Springer Science+Business Media Dordrecht

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Eu, B.C. (1998). Mathematical Preparation. In: Nonequilibrium Statistical Mechanics. Fundamental Theories of Physics, vol 93. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2438-8_5

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  • DOI: https://doi.org/10.1007/978-94-017-2438-8_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5007-6

  • Online ISBN: 978-94-017-2438-8

  • eBook Packages: Springer Book Archive

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