Stability of trajectories for N-particle dynamics with a singular potential

被引：2

作者：

Barre, J. ^{[1
]}

Hauray, M. ^{[2
]}

Jabin, P. E. ^{[1
,3
]}

机构：

[1] Univ Nice Sophia Antipolis, Lab JA Dieudonne, UMR CNRS 6621, F-06108 Nice, France

[2] Univ Provence, CMI, F-13453 Marseille, France

[3] INRIA Sophia Antipolis Mediterranee, TOSCA Project Team, F-06902 Sophia Antipolis, France

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2010年

关键词：

rigorous results in statistical mechanics; kinetic theory of gases and liquids; 2-D EULER EQUATIONS; ORDINARY DIFFERENTIAL-EQUATIONS; POINT-VORTEX METHOD; DIPERNA-LIONS FLOW; TRANSPORT-EQUATION; APPROXIMATION; CONVERGENCE; REGULARITY;

D O I：

10.1088/1742-5468/2010/07/P07005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study the stability in finite times of the trajectories of interacting particles. Our aim is to show that on 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 potentials 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.

引用

页数：21

共 50 条

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