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Examples of exponentially many collisions in a hard ball system

Published online by Cambridge University Press:  23 October 2020

DMITRI BURAGO
Affiliation:
The Pennsylvania State University, Department of Mathematics, University Park, PA16802, USA (e-mail: [email protected])
SERGEI IVANOV
Affiliation:
St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia (e-mail: [email protected])

Abstract

Consider the system of n identical hard balls in ${\mathbb {R}}^3$ moving freely and colliding elastically. We show that there exist initial conditions such that the number of collisions is exponential in n.

Type
Original Article
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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