☆ 4.2 Article

ON VILLANI'S CONJECTURE CONCERNING ENTROPY PRODUCTION FOR THE KAC MASTER EQUATION

KINETIC AND RELATED MODELS (2011)

期刊

KINETIC AND RELATED MODELS

卷 4, 期 2, 页码 479-497

出版社

AMER INST MATHEMATICAL SCIENCES

DOI: 10.3934/krm.2011.4.479

关键词

Entropy Production; Villani's Conjecture

类别

Mathematics, Applied Mathematics

资金

NSF [DMS-0901304]
Direct For Mathematical & Physical Scien
Division Of Mathematical Sciences [901304] Funding Source: National Science Foundation

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Protocol

Reagent

摘要

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.

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