Domain of definition of Levermore's five-moment system

Journal of Statistical Physics

Volumn 93, Issue 5-6, 1998, Pages 1143-1167

  Junk, Michael ^a  

^a FRAUNHOFER INSTITUTE FOR INDUSTRIAL MATHEMATICS ITWM   (Germany)

Author keywords

Levermore's moment closure; Maximum entropy; Moment realizability; Reduced hamburger moment problem

Indexed keywords

EID: 0032259525     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:joss.0000033155.07331.d9     Document Type: Article

References (10)

1. N. I. Akhiezer and M. Krein, Some Questions in the Theory of Moments, Transl. of Math. Monographs, Vol. 2, 1962.
2. N. I. Akhiezer, The Classical Moment Problem and Some Related Questions in Analysis (Oliver & Boyd, 1965).
3. W. Dreyer, Maximisation of the entropy in non-equilibrium, J. Phys. A: Math. Gen. 20:6505-6517 (1987).
4. A. Kociszewski, The existence conditions for maximum entropy distributions, having prescribed the first three moments, J. Phys. A: Math. Gen. 19:L823-L827 (1986).
5. P. Le Tallec and J. P. Perlat, Numerical analysis of Levermore's moment system, Rapport de recherche No. 3124, INRIA Rocquencourt, 1997.
6. C. D. Levermore, Moment closure hierarchies for kinetic theories, J. Stat. Phys. 83:1021-1065 (1996).
7. A. Majda, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables (Springer, 1984).
8. L. R. Mead and N. Papanicolaou, Maximum entropy in the problem of moments, J. Math. Phys. 25:2404-2417 (1984).
9. I. Müller and T. Ruggeri, Extended Thermodynamics (Springer Verlag, New York, 1993).
10. S. Ihara, Information Theory for Continuous Systems (World Scientific, 1993).