THE GENERALIZED BOLTZMANN-EQUATION EXISTE NCE AND EXPONENTIAL TREND TO EQUILIBRIUM

Authors
BELLOMO N POLEWCZAK J
Citation
N. Bellomo et J. Polewczak, THE GENERALIZED BOLTZMANN-EQUATION EXISTE NCE AND EXPONENTIAL TREND TO EQUILIBRIUM, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 319(8), 1994, pp. 893-898
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
319
Issue
8
Year of publication
1994
Pages
893 - 898
Database
ISI
SICI code
0764-4442(1994)319:8<893:TGBENA>2.0.ZU;2-L
Abstract
We consider a generalized model of the Boltzmann equation. The model i s formally derived from the BBGKY hierarchy by introducing a variable diameter r in the domain [0, R] and then, by averaging the two-particl e distribution function over this domain. For this model we prove glob al existence, uniqueness, and exponential convergence to equilibrium.