371,611 research outputs found

    On the speed of approach to equilibrium for a collisionless gas

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    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 LpL^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.Comment: 22 pages, 1 figure; submitted to Kinetic and Related Model

    Monitoring of crack growth in Ti-Al-4v alloy by the stress wave analysis technique

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    Stress wave analysis techniques for monitoring crack growth in Ti-6Al-4V alloy pressure vessel wall
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