ON VILLANI'S CONJECTURE CONCERNING ENTROPY PRODUCTION FOR THE KAC MASTER EQUATION
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Einav, A
Abstract
In this paper we take an idea presented in recent paper by Carlen, Carvalho, Le Roux, Loss, and Villani ([3]) and push it one step forward to find an exact estimation on the entropy production. The new estimation essentially proves that Villani's conjecture is correct, or more precisely that a much worse bound to the entropy production is impossible in the general case.
Description
Keywords
Entropy Production, Villani's Conjecture, BOLTZMANN-EQUATION, MODEL
Journal Title
KINET RELAT MOD
Conference Name
Journal ISSN
1937-5093
1937-5077
1937-5077
Volume Title
4
Publisher
American Institute of Mathematical Sciences (AIMS)
Publisher DOI
Sponsorship
National Science Foundation