Instability of periodic BGK waves

Authors
Lin, ZW
Citation
Zw. Lin, Instability of periodic BGK waves, MATH RES LE, 8(4), 2001, pp. 521-534
Citations number
18
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL RESEARCH LETTERS
ISSN journal
10732780 → ACNP
Volume
8
Issue
4
Year of publication
2001
Pages
521 - 534
Database
ISI
SICI code
1073-2780(200107)8:4<521:IOPBW>2.0.ZU;2-X
Abstract
We investigate the stability of periodic Bernstein-Greene-Kruskal (BGK) wav es. It is proved that any such wave is linearly unstable under some perturb ation of twice the period. A new method is developed to find a growing mode .