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Stabilizing the Burnett fluid dynamics equations
Author(s) -
Söderholm Lars H.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700698
Subject(s) - knudsen number , instability , mathematics , dynamics (music) , set (abstract data type) , mathematical physics , mathematical analysis , physics , thermodynamics , mechanics , computer science , acoustics , programming language
Combining multple time expansion and Hilbert expansion, the wellknown difficulties of the Hilbert expansion are overcome. Here it is shown also that the resulting equations to second order in the Knudsen number can be summed and a set of equations are obtained which does not suffer from the Bobylev instability (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)