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.
Author: | Michael Junk, Andreas Unterreiter |
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URN: | urn:nbn:de:hbz:386-kluedo-11866 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (246) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 2001 |
Year of first Publication: | 2001 |
Publishing Institution: | 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: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |