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Linear Transport

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The Boltzmann Equation and Its Applications

Part of the book series: Applied Mathematical Sciences ((AMS,volume 67))

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Abstract

Because of the nonlinear nature of the collision term, the Boltzmann equation is very difficult to solve and to analyse. In Chapter III, Section 10, we studied a very particular class of solutions; namely, the Maxwellians. The meaning of a Maxwellian distribution is clear: it describes equilibrium states (or slight generalizations of them, characterized by the fact that neither heat flux nor stresses other than isotropic pressure are present). If we want to describe more realistic nonequilibrium situations, when oblique stresses are present and heat transfer takes place, we have to rely upon approximate methods.

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Authors and Affiliations

  1. Department of Mathematics, Politecnico di Milano, 20133, Milano (I), Italy

    Carlo Cercignani

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  1. Carlo Cercignani
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© 1988 Springer Science+Business Media New York

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Cercignani, C. (1988). Linear Transport. In: The Boltzmann Equation and Its Applications. Applied Mathematical Sciences, vol 67. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1039-9_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1039-9_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6995-3

  • Online ISBN: 978-1-4612-1039-9

  • eBook Packages: Springer Book Archive

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