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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 96, Number 1, Pages 64–78
(Mi tmf1491)
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This article is cited in 10 scientific papers (total in 10 papers)
Estimate of the number of collisions of $n$ elastic particles on a line
M. B. Sevryuk Institute of Energy Problems of Chemical Physics, Russian Academy of Sciences
Abstract:
An explicit upper bound is obtained for the number of reflections of a billiard trajectory in a multidimensional polyhedral angle (in particular, for the number of collisions of $n$ elastic particles on a line) in terms of a special geometrical characteristic of the angle.
Received: 19.06.1992
Citation:
M. B. Sevryuk, “Estimate of the number of collisions of $n$ elastic particles on a line”, TMF, 96:1 (1993), 64–78; Theoret. and Math. Phys., 96:1 (1993), 818–826
Linking options:
https://www.mathnet.ru/eng/tmf1491 https://www.mathnet.ru/eng/tmf/v96/i1/p64
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Abstract page: | 281 | Full-text PDF : | 114 | References: | 41 | First page: | 1 |
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