Instability of Periodic Bgk Waves

@inproceedings{Lin2001InstabilityOP,
  title={Instability of Periodic Bgk Waves},
  author={Zhiwu Lin},
  year={2001}
}
We investigate the stability of periodic Bernstein-Greene-Kruskal (BGK) waves. It is proved that any such wave is linearly unstable under some perturbation of twice the period. A new method is developed to find a growing mode. 
Highly Cited
This paper has 22 citations. REVIEW CITATIONS

References

Publications referenced by this paper.
Showing 1-10 of 25 references

Exact nonlinear plasma

I. Bernstein, J. Greene, M. Kruskal
oscillations. Phys. Rev. 108, • 1957
View 5 Excerpts
Highly Influenced

Methods of modern mathematical physics, Vol IV, Academic press

M. Reed, B. Simon
1978
View 3 Excerpts
Highly Influenced

Magnetically created instability in a collisionless plasma

Y. Guo, W. Strauss
J. Math. Pures. Appl., 79, • 2000
View 1 Excerpt

Stability of Bernstein-Greene-Kruskal

G. Manfredi, P. Bertrand
modes, Phys. Plasmas, • 2000
View 2 Excerpts

Stable magnetic equilibria in a symmetric plasma

Y. Guo
Commun. Math. Phys., • 1999

Unstable oscillatory-tail solutions

Y. Guo, W. Strauss
SIAM J. Math. Anal., • 1999
View 1 Excerpt

Unstable relativistic BGK waves

Y. Guo, W. Strauss
Comp. and Appl. Math., 18, • 1999
View 2 Excerpts

Unstable BGK solitary waves and collisionless shocks

Y. Guo, W. Strauss
Commun. Math. Phys. 195, • 1998
View 1 Excerpt

Stable magnetic equilibria in collisionless plasma

Y. Guo
Comm. Pure Appl. Math., • 1997

Instability of periodic BGK equilibria

Y. Guo, W. Strauss
Comm . Pure Appl . Math . Vol XLVIII • 1995

Similar Papers

Loading similar papers…