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Domain of Definition of Levermore's Five-Moment System

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Abstract

The simplest system in Levermore's moment hierarchy involving moments higher than second order is the five-moment closure. It is obtained by taking velocity moments of the one-dimensional Boltzmann equation under the assumption that the velocity distribution is a maximum-entropy function. The moment vectors for which a maximum-entropy function exists consequently make up the domain of definition of the system. The aim of this article is a complete characterization of the structure of the domain of definition and the connected maximum-entropy problem. The space-homogeneous case of the equation and numerical aspects are also addressed.

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  1. Institut für Techno- und Wirtschaftsmathematik, 67663, Kaiserslautern, Germany

    Michael Junk

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  1. Michael Junk
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Junk, M. Domain of Definition of Levermore's Five-Moment System. Journal of Statistical Physics 93, 1143–1167 (1998). https://doi.org/10.1023/B:JOSS.0000033155.07331.d9

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  • DOI: https://doi.org/10.1023/B:JOSS.0000033155.07331.d9

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