The asymptotic behavior of solutions to the repulsive $n$-body problem

Published 12 Jul 2017 in math.CA | (1707.03626v1)

Abstract: The $n$-body problem with a purely repulsive Coulomb interaction is considered. It is shown that for large times $t$ the distance between any two particles grows linearly in $t$. The trajectory of each particle is asymptotically a straight line with a fixed velocity which is different for different particles.

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Gerhard Rein

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