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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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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