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One-dimensional motion of N balls

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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.

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References

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Novosibirsk

    R. M. Garipov

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  1. R. M. Garipov
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Original Russian Text Copyright © 2005 Garipov R. M.

Translated from Sibirski \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\imath}\) Matematicheski \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\imath}\) Zhurnal, Vol. 46, No. 2, pp. 332–344, March–April, 2005.

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Garipov, R.M. One-dimensional motion of N balls. Sib Math J 46, 260–269 (2005). https://doi.org/10.1007/s11202-005-0026-x

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  • DOI: https://doi.org/10.1007/s11202-005-0026-x

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