Chaotic motions for a version of the Vlasov equation
Analysis of PDEs
2016-12-20 v1 Optimization and Control
Abstract
We consider a version of the Vlasov equation on the circle under a periodic potential and a repulsing smooth interaction . We suppose that the Lagrangian for the single particle has chaotic orbits; using Aubry-Mather theory and ideas of W. Gangbo, A. Tudorascu and P. Bernard, we prove that, for any initial distribution of particles, it is possible to choose their initial speed in such a way to get a chaotic orbit on .
Cite
@article{arxiv.1612.06285,
title = {Chaotic motions for a version of the Vlasov equation},
author = {Ugo Bessi},
journal= {arXiv preprint arXiv:1612.06285},
year = {2016}
}