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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 2, Pages 332–344
(Mi smj968)
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One-dimensional motion of $N$ balls
R. M. Garipov M. A. Lavrent'ev Institute of Hydrodynamics
Abstract:
We find all elastic systems with point spectrum. For almost elastic nonconservative systems we obtain large time asymptotics for the velocities of the balls. This one-dimensional ball model was invoked in order to elucidate some problems of gas kinetics and turbulence but turned out hard to study in its own right.
Keywords:
dynamical system, crystallographic group, factorization, point spectrum, small nonconservativity, average velocity, fluctuation.
Received: 26.05.2004 Revised: 30.08.2004
Citation:
R. M. Garipov, “One-dimensional motion of $N$ balls”, Sibirsk. Mat. Zh., 46:2 (2005), 332–344; Siberian Math. J., 46:2 (2005), 260–269
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https://www.mathnet.ru/eng/smj968 https://www.mathnet.ru/eng/smj/v46/i2/p332
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Abstract page: | 364 | Full-text PDF : | 116 | References: | 82 |
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