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Maximum Entropy Moment Systems and Galilean Invariance

  • In this article, we investigate the maximum entropy moment closure in gas dynamics. We show that the usual choice of polynomial weight functions may lead to hyperbolic systems with an unpleasant state space: equilibrium states are boundary points with possibly singular fluxes. In order to avoid singularities, the necessary arises to find weight functions which growing sub-quadratically at infinity. Unfortunately, this requirement leads to a conflict with Galilean invariance of the moment systems because we can show that rotational and translational invariant, finite dimensional function spaces necessarily consist of polynomials.

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Author:Michael Junk, Andreas Unterreiter
URN (permanent link):urn:nbn:de:hbz:386-kluedo-11866
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (246)
Document Type:Preprint
Language of publication:English
Year of Completion:2001
Year of Publication:2001
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2001/12/11
Tag:equilibrium state; gas dynamics; growing sub-quadratically; maximum entropy moment; polynomial weight functions; singular fluxes
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011