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# On the speed of approach to equilibrium for a collisionless gas

Abstract : We investigate the speed of approach to Maxwellian equilibrium for a collisionless gas enclosed in a vessel whose wall are kept at a uniform, constant temperature, assuming diffuse reflection of gas molecules on the vessel wall. We establish lower bounds for potential decay rates assuming uniform $L^p$ bounds on the initial distribution function. We also obtain a decay estimate in the spherically symmetric case. We discuss with particular care the influence of low-speed particles on thermalization by the wall.
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Cited literature [15 references]

https://hal-polytechnique.archives-ouvertes.fr/hal-00517886
Contributor : François Golse Connect in order to contact the contributor
Submitted on : Wednesday, September 15, 2010 - 7:32:37 PM
Last modification on : Sunday, June 26, 2022 - 5:27:04 AM
Long-term archiving on: : Friday, December 2, 2016 - 12:09:54 AM

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IdealEquil2.pdf
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### Citation

Kazuo Aoki, François Golse. On the speed of approach to equilibrium for a collisionless gas. Kinet. Relat. Models, 2011, 4 (1), pp.87-107. ⟨10.3934/krm.2011.4.87⟩. ⟨hal-00517886⟩

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