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Continuum Mechanics and Thermodynamics

, Volume 14, Issue 6, pp 563–576 | Cite as

Maximum entropy moment systems and Galilean invariance

  • M. Junk
  • A. Unterreiter
Original Article

Maximum entropy moment closure systems of gas dynamics are investigated. It is shown that polynomial weight functions growing super-quadratically at infinity lead to hyperbolic systems with an unpleasant state space: equilibrium states are boundary points with possibly singular fluxes. This in its generality previously unknown result applies to any moment system including, for example, the 26 or 35 moment case. One might try to avoid singular fluxes by choosing non-polynomial weight functions which grow sub-quadratically at infinity. This attempt, however, is shown to be incompatible with the Galilean invariance of the moment systems because rotational and translational invariant, finite dimensional function spaces necessarily consist of polynomials.

Keywords

Entropy State Space Weight Function Function Space Boundary Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • M. Junk
    • 1
  • A. Unterreiter
    • 2
  1. 1.Fachbereich Mathematik, Universität Kaiserslautern, 67663 Kaiserslautern, Germany DE
  2. 2.Fachbereich Mathematik, Technische Universität Berlin, 10623 Berlin, Germany DE

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