Stability of trajectories for N -particles dynamics with singular potential

Details Stability of trajectories for N -particles dynamics with singular potential Stability of trajectories for N -particles dynamics with singular potential

2010-04-13

arxiv.org/abs/1004.2177v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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