Bounds on the growth of the velocity support for the solutions of the Vlasov-Poisson equation in a torus

Authors
Caglioti, E Marchioro, C
Citation
E. Caglioti et C. Marchioro, Bounds on the growth of the velocity support for the solutions of the Vlasov-Poisson equation in a torus, J STAT PHYS, 100(3-4), 2000, pp. 659-677
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
100
Issue
3-4
Year of publication
2000
Pages
659 - 677
Database
ISI
SICI code
0022-4715(200008)100:3-4<659:BOTGOT>2.0.ZU;2-V
Abstract
A bound on the growth of the velocity for the Vlasov-Poisson equation in a torus is given in one and two dimensions. The main tool used in the proof i s a partition into fast and slow particles and the ergodic property of the free motion in a torus.