Static solutions of the Vlasov-Einstein system

Archive for Rational Mechanics and Analysis

Volumn 156, Issue 3, 2001, Pages 205-230

  Wolansky, G ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035582813     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050000122     Document Type: Article

References (11)

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3. J. BATT & G. REIN, A rigorous stability result for the Vlasov-Poisson system in three dimensions, Anal di Mat. Pura ed Applicata CLXIV, (1993) 133-154.
4. Y. GOU & G. REIN, Stable steady states in stellar dynamics, Arch. Rational Mech. Anal. 147, (1999) 225-243.
5. G. REIN, Nonlinear stability for the Vlasov-Poisson system - the energy-Casimir method, Math. meth. appl. Sci. 17, (1994) 1129-1140.
6. G. REIN & A. D. RENDALL, Smooth static solutions of the spherically symmetric Vlasov-Einstein system, Ann. Inst. Henri Poincare 59, (1993) 383-397.
7. 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.
8. G. REIN & A. D. RENDALL, Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics, Math. Proc. Camb. Phil. Soc. 128, (2000) 363-380.
9. J. SCHAEFFER, Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions, Comm. Part. Diff. Eqns. 16, (1991) 1313-1335.
10. J. SMOLLER, A. WASSERMAN, S. T. YAU & J. MCLEOD, Smooth static solutions of the Einstein Yang-Mills Equations. Commun. math. phys. 143, (1991) 115-147.
11. G. WOLANSKY, On nonlinear stability of polytropic galaxies, Ann. Inst. Henri Poincare 16, (1999) 15-48.