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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 2, Pages 332–344 (Mi smj968)  
One-dimensional motion of $N$ balls

R. M. Garipov

M. A. Lavrent'ev Institute of Hydrodynamics
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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
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 2, Pages 260–269
DOI: https://doi.org/10.1007/s11202-005-0026-x
Bibliographic databases:
UDC: 517.53/57
Language: Russian
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
Citation in format AMSBIB
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\jour Siberian Math. J.
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\pages 260--269
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