@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}, pages = {339--352}, publisher = {Gauthier-Villars}, volume = {12}, number = {3}, year = {1995}, mrnumber = {1340268}, zbl = {0836.35130}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1995__12_3_339_0/} }
TY - JOUR AU - Guo, Yan AU - Strauss, Walter A. TI - Nonlinear instability of double-humped equilibria JO - Annales de l'I.H.P. Analyse non linéaire PY - 1995 SP - 339 EP - 352 VL - 12 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1995__12_3_339_0/ LA - en ID - AIHPC_1995__12_3_339_0 ER -
Guo, Yan; Strauss, Walter A. Nonlinear instability of double-humped equilibria. Annales de l'I.H.P. Analyse non linéaire, Tome 12 (1995) no. 3, pp. 339-352. http://www.numdam.org/item/AIHPC_1995__12_3_339_0/
[BR1] 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 | Zbl
and ,[BR2] 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 | Zbl
and ,[G] Bound on the energy available from a plasma, Phys. Fluids, Vol. 6, 1963, pp. 839-840. | MR
,[HM] Nonlinear stability of fluid and plasma equilibria, Phys. Rep., Vol. 123, 1985, pp. 1-116. | MR | Zbl
, , and ,[H] On the asymptotic growth of the solutions of the Vlasov-Poisson system, Math. Meth. Appl. Sci., Vol. 16, 1993, pp. 75-85. | MR | Zbl
,[GSS] Stability theory of solitary waves in the presence of symmetry, part 2, J. Funct. Anal., Vol. 94, 2, 1990, pp. 308-348. | MR | Zbl
, and ,[K] Principles of Plasma Physics, McGraw-Hill, 1973.
and ,[LP] Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system. Invent. Math., Vol. 105, 1991, pp. 415- 430. | MR | Zbl
and ,[MP] 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 | Zbl
and ,[P] Electrostatic instability of a uniform non-Maxwellian plasma, Phys. Fluids, Vol. 3, 1960, pp. 258-265. | Zbl
,[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 | Zbl
,[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 | Zbl
,[Sh] On the classical solutions of the Boltzmann equation, Comm. Pure Appl. Math., Vol. 36, 1983, pp. 705-754. | MR | Zbl
,