The Chapman-Enskog procedure as a form of degenerate perturbation theory

U.M. Titulaer

Physica A: Statistical Mechanics and its Applications, 1980, vol. 100, issue 2, 234-250

Abstract: A formal analogy between the linear Chapman-Enskog procedure and a variant of the perturbation theory of degenerate levels, as presented by C. Bloch, is established. The analogy is than exploited to obtain closed expressions for the Chapman-Enskog special solutions to all orders in the perturbation parameter and for the evolution equations of the hydrodynamic variables, that determine the asymptotic solutions of the underlying evolution equation. The analogy can also be used to express the initial values of these “asymptotic equations” in terms of the initial value of the full evolution equation.

Date: 1980
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437180901181
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:100:y:1980:i:2:p:234-250

DOI: 10.1016/0378-4371(80)90118-1

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().