A RENORMALIZATION METHOD FOR THE CHAPMAN-ENSKOG EXPANSION

Authors
SLEMROD M
Citation
M. Slemrod, A RENORMALIZATION METHOD FOR THE CHAPMAN-ENSKOG EXPANSION, Physica. D, 109(3-4), 1997, pp. 257-273
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
109
Issue
3-4
Year of publication
1997
Pages
257 - 273
Database
ISI
SICI code
0167-2789(1997)109:3-4<257:ARMFTC>2.0.ZU;2-9
Abstract
This paper introduces a procedure for rewriting the well-known Chapman -Enskog expansion used in the kinetic theory of gases. The usual Chapm an-Enskog procedure will exhibit instability of the rest state for som e finite truncations of the expansion. The rewritten (renormalized) ex pansion eliminates truncation instabilities and suggests a method for summation of the expansion as a nonlocal (generally nonlinear) operato r in space.