Journal of Statistical Physics

, Volume 93, Issue 5, pp 1143–1167

Domain of Definition of Levermore's Five-Moment System

  • Michael Junk

DOI: 10.1023/B:JOSS.0000033155.07331.d9

Cite this article as:
Junk, M. Journal of Statistical Physics (1998) 93: 1143. doi:10.1023/B:JOSS.0000033155.07331.d9


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.

Levermore's moment closuremaximum entropymoment realizabilityreduced Hamburger moment problem

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • Michael Junk
    • 1
  1. 1.Institut für Techno- und WirtschaftsmathematikKaiserslauternGermany