On a class of Lyapunov functionals of the Boltzmann equation and their generalizations

W. Maass

Physica A: Statistical Mechanics and its Applications, 1981, vol. 109, issue 1, 328-338

Abstract: A family of Lyapunov functionals Lα (generalized entropy functionals) of Boltzmann's collision equation is used to judge the sensitivity of the tendency towards the equilibrium against relevant classes of persistent perturbations of the Boltzmann equation. The embedding of the Boltzmann equation into a hierarchy of BBGKY-type is considered from the stability point of view by means of generalized functionals μLα. The derivation of the Boltzmann equation from the hierarchy by a factorization assumption is restated as optimization problem.

Date: 1981
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437181900546
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:109:y:1981:i:1:p:328-338

DOI: 10.1016/0378-4371(81)90054-6

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 ().