Stability of trajectories for N -particles dynamics with singular potential
Analysis of PDEs
2013-05-10 v1
Abstract
We study the stability in finite times of the trajectories of interacting particles. Our aim is to show that in average and uniformly in the number of particles, two trajectories whose initial positions in phase space are close, remain close enough at later times. For potential less singular than the classical electrostatic kernel, we are able to prove such a result, for initial positions/velocities distributed according to the Gibbs equilibrium of the system.
Cite
@article{arxiv.1004.2177,
title = {Stability of trajectories for N -particles dynamics with singular potential},
author = {Julien Barré and Maxime Hauray and Pierre-Emmanuel Jabin},
journal= {arXiv preprint arXiv:1004.2177},
year = {2013}
}