@article{AIHPC_1995__12_3_339_0,
author = {Guo, Yan and Strauss, Walter A.},
title = {Nonlinear instability of double-humped equilibria},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {12},
year = {1995},
pages = {339-352},
mrnumber = {1340268},
zbl = {0836.35130},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_1995__12_3_339_0}
}
Guo, Yan; Strauss, Walter A. Nonlinear instability of double-humped equilibria. Annales de l'I.H.P. Analyse non linéaire, Tome 12 (1995) pp. 339-352. http://gdmltest.u-ga.fr/item/AIHPC_1995__12_3_339_0/
[BR1] and , Global classical solutions of the periodic Vlasov-Poisson system in three dimensions, C. R. Acad. Sci. Paris, t. 313, Serie 1, 1991, pp. 411-416. | MR 1126425 | Zbl 0741.35058
[BR2] and , A rigorous stability result for the Vlasov-Poisson equation in three dimensions, Anal. di Mat. Pura ed Appl., Vol. 164, 1993, pp. 133-154. | MR 1243953 | Zbl 0791.49030
[G] , Bound on the energy available from a plasma, Phys. Fluids, Vol. 6, 1963, pp. 839-840. | MR 152330
[HM] , , and , Nonlinear stability of fluid and plasma equilibria, Phys. Rep., Vol. 123, 1985, pp. 1-116. | MR 794110 | Zbl 0717.76051
[H] , On the asymptotic growth of the solutions of the Vlasov-Poisson system, Math. Meth. Appl. Sci., Vol. 16, 1993, pp. 75-85. | MR 1200156 | Zbl 0782.35079
[GSS] , and , Stability theory of solitary waves in the presence of symmetry, part 2, J. Funct. Anal., Vol. 94, 2, 1990, pp. 308-348. | MR 1081647 | Zbl 0711.58013
[K] and , Principles of Plasma Physics, McGraw-Hill, 1973.
[LP] and , Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system. Invent. Math., Vol. 105, 1991, pp. 415- 430. | MR 1115549 | Zbl 0741.35061
[MP] and , A note on the nonlinear stability of a spatially symmetric Vlasov-Poisson flow, Math. Mech. in the Appl. Sci., Vol. 8, 1986, pp. 284-288. | MR 845931 | Zbl 0609.35008
[P] , Electrostatic instability of a uniform non-Maxwellian plasma, Phys. Fluids, Vol. 3, 1960, pp. 258-265. | Zbl 0090.22801
[Pf] , Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data, J. Diff. Eqns., Vol. 92, 1992, pp. 281-303. | MR 1165424 | Zbl 0810.35089
[S] , Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions, Comm. P.D.E., Vol. 16, 1991, pp. 1313-1335. | MR 1132787 | Zbl 0746.35050
[Sh] , On the classical solutions of the Boltzmann equation, Comm. Pure Appl. Math., Vol. 36, 1983, pp. 705-754. | MR 720591 | Zbl 0515.35002