Hilbert fluid dynamics equations expressed in Chapman-Enskog pressure tensor and heat current

Authors: Söderholm,  L. H. S.
Document Type: Article
Pubstate: Published
Journal: Transport Theory and Statistical Physics
Volume: 37   520-534
Year: 2008


The connection between the Chapman-Enskog and Hilbert expansions is investigated in detail. In particular the fluid dynamics equations of any order in the Hilbert expansion are given in terms of the pressure tensor and heat current of the Chapman-Enskog expansion Key words: Hilbert expansion; Chapman-Enskog expansion.