ON CONVERGENCE TO EQUILIBRIUM FOR KACS CARICATURE OF A MAXWELL GAS

Citation
E. Gabetta et G. Toscani, ON CONVERGENCE TO EQUILIBRIUM FOR KACS CARICATURE OF A MAXWELL GAS, Journal of mathematical physics, 35(1), 1994, pp. 190-208
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
35
Issue
1
Year of publication
1994
Pages
190 - 208
Database
ISI
SICI code
0022-2488(1994)35:1<190:OCTEFK>2.0.ZU;2-D
Abstract
The trend towards equilibrium of the solution to the one-dimensional K ac's caricature of a Maxwell gas is investigated. When the initial val ue has finite energy and finite Linnik's entropy, it is proven that th e solution converges in L(1boolean AND) L(infinity) to the equilibrium Maxwellian distribution.