Static Shells for the Vlasov-Poisson and Vlasov-Einstein Systems

Indiana University Mathematics Journal

Volumn 48, Issue 1, 1999, Pages 335-346

  Rein, Gerhard ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142259312     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.1999.48.1636     Document Type: Article

References (12)

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3. P.-L. LIONS & B. PERTHAME, Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system, Invent, math. 105 (1991) 415-430.
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6. _, Stationary and static stellar dynamic models with axial symmetry, Nonlinear Analysis, Theory, Methods & Applications, to appear.
7. _, A parametrization of the polytropic steady states in stellar dynamics, in preparation.
8. G. REIN & A. D. RENDALL, Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data, Commun. Math. Phys. 150 (1992) 561-583.
9. _, Smooth static solutions of the spherically symmetric Vlasov-Einstein system, Ann. de l'Inst. H. Poincaré, Physique Théorique 59 (1993) 383-397.
10. G. REIN, A. D. RENDALL & J. SCHAEFFER, A regularity theorem for the spherically symmetric Vlasov-Einstein system, Commun. Math. Phys. 168 (1995) 467-478.
11. _, Critical collapse of collisionless matter: A numerical investigation, Phys. Rev. D 58 (1998) 044007.
12. J. SCHAEFFER, Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions, Commun. Part. Diff. Eqns. 16 (1991) 1313-1335.