Growth estimates for the solutions of the Vlasov - Poisson system in the plasma physics case

Mathematische Nachrichten

Volumn 191, Issue , 1998, Pages 269-278

  Rein, Gerhard ^a  

^a Meteorol Inst   (Germany)

Author keywords

Growth estimates; Kinetic equations; Selfconsistent plasma

Indexed keywords

EID: 0001830274     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19981910114     Document Type: Article

References (7)

1. HORST, E.: On the Classical Solutions of the Initial Value Problem for the Unmodified Non-Linear Vlasov Equation II, Math. Meth. in the Appl. Sci. 4 (1982), 19-32
2. HORST, E.: On the Asymptotic Growth of the Solutions of the Vlasov - Poisson System, Math. Meth. in the Appl. Sci. 16 (1993), 75-85
3. ILLNER, R., and REIN, G.: Time Decay of the Solutions of the Vlasov-Poisson System in the Plasma Physical Case, Math. Meth. in the Appl. Sci. 19 (1996), 1409-1413
4. LIONS, P.-L., and PERTHAME, B.: Propagation of Moments and Regularity for the 3-Dimensional Vlasov-Poisson System, Invent. math. 105 (1991), 415-430
5. PFAFFELMOSER, K.: Global Classical Solutions of the Vlasov-Poisson System in Three Dimensions for General Initial Data, J. Diff. Eqns. 95 (1992), 281-303
6. SCHAEFFER, J.: Global Existence of Smooth Solutions to the Vlasov-Poisson System in Three Dimensions, Commun. Part. Diff. Eqns. 16 (1991), 1313-1335
7. SCHAEFFER, J.: Global Existence of Smooth Solutions to the Vlasov-Poisson System in Three Dimensions ("The Good, the Bad, and the Ugly"), unpublished manuscript