On the Relation between the Hilbert and Chapman-Enskog Expansions

Authors: Söderholm,  L. H. S.
Document Type: Conference
Pubstate: Accepted
Journal: Rarefied Gas Dynamics
Volume: 26  
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.