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Original Articles

Time decay for solutions to the linearized Vlasov equation

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Pages 411-453 | Received 04 Dec 1992, Accepted 31 Mar 1993, Published online: 13 Sep 2006

References

  • Maslov , V. P. and Fedoryuk , M. V. 1986 . The Linear Theory of Landau Damping . Math. USSR Sbornik , : 437 – 465 .
  • Degond , P. 1983 . Apparition de résonances pour l'équation de Vlasov - Poisson linéarisé . C. R. Acad. Sci. Paris, Sér. I Math. , 296 : 969 – 972 .
  • Landau , L. D. 1946 . On the vibrations of the electronic plasma . Zh. Eksper. Teoret. Fiz. , 16 : 574 – 586 .
  • Lifshitz , E. M. and Pitaevskii , L. P. 1981 . Physical Kinetics , Oxford : Pergamon Press .
  • Batt , J. and Rein , G. A rigorous stability result for the Vlasov - Poisson system in three dimensions . To appear in Anal. di Mat. Pura ed Appl ,
  • Maxchioro , C. and Pulvirenti , M. 1986 . A note on the nonlinear stability of a spatially symmetric Vlasov - Poisson flow . Math. Meth. in the Appl. Sci. , 8 : 284 – 288 .
  • Wan , Y.-H. 1990 . Nonlinear stability of stationary spherically symmetric models in stellar dynamics . Arch. Rat. Mech. Anal. , 112 : 83 – 85 .
  • Fridman , A. M. and Polyachenko , V. L. 1984 . Physics of Gravitating Systems I, Equilibrium and Stability , New York : Springer - Verlag .
  • Magnus , W. , Oberhettinger , F. and Soni , R. P. 1966 . Formulas and Theorems for the Special Functions of Mathematical Physics , New York : Springer Verlag .
  • Cai , Heng-Jin and Chen , Pei-ren . 1991 . Exact Solution to Linear Vlasov Eqn. and Discussions on Landau Damping, Instabilities and Resonant Interactions . Science in China (Ser. A) , 34 : 324 – 335 .
  • Rondoni , L. and Zweifel , P. Solutions of Singular Integral Equations from Gas Dynamics and Plasma Physics Preprint.

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