NONLINEAR STABILITY FOR THE VLASOV-POISSON SYSTEM - THE ENERGY-CASIMIR METHOD

Authors
REIN G
Citation
G. Rein, NONLINEAR STABILITY FOR THE VLASOV-POISSON SYSTEM - THE ENERGY-CASIMIR METHOD, Mathematical methods in the applied sciences, 17(14), 1994, pp. 1129-1140
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
17
Issue
14
Year of publication
1994
Pages
1129 - 1140
Database
ISI
SICI code
0170-4214(1994)17:14<1129:NSFTVS>2.0.ZU;2-O
Abstract
The problem of stability of stationary solutions of the Vlasov-Poisson system has received a lot of attention in the physics literature, bot h in the stellar dynamics and the plasma physics cases. The energy-Cas imir method has been used to prove non-linear stability for various co nservative systems, but no rigorous application to the Vlasov-Poisson system has been given yet. We employ this method to prove non-linear s tability of stationary solutions for the plasma physics case in three geometrically different settings.