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Domain of Definition of Levermore's Five-Moment System

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1998

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http://nbn-resolving.de/urn:nbn:de:bsz:352-254817
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https://doi.org/10.1023/B:JOSS.0000033155.07331.d9
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Journal of Statistical Physics. 1998, 93(5/6), pp. 1143-1167. ISSN 0022-4715. eISSN 1572-9613. Available under: doi: 10.1023/B:JOSS.0000033155.07331.d9

Zusammenfassung

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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510 Mathematik

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ISO 690JUNK, Michael, 1998. Domain of Definition of Levermore's Five-Moment System. In: Journal of Statistical Physics. 1998, 93(5/6), pp. 1143-1167. ISSN 0022-4715. eISSN 1572-9613. Available under: doi: 10.1023/B:JOSS.0000033155.07331.d9
BibTex
@article{Junk1998Domai-25481,
  year={1998},
  doi={10.1023/B:JOSS.0000033155.07331.d9},
  title={Domain of Definition of Levermore's Five-Moment System},
  number={5/6},
  volume={93},
  issn={0022-4715},
  journal={Journal of Statistical Physics},
  pages={1143--1167},
  author={Junk, Michael}
}
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