Steady States in Galactic Dynamics

Archive for Rational Mechanics and Analysis

Volumn 172, Issue 1, 2004, Pages 1-19

  Schaeffer, Jack ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2142822170     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-004-0308-7     Document Type: Article

References (21)

1. ALY, J.J.: On the lowest energy state of a collisionless selfgravitating system under phase space volume constraints. Monthly Notices Royal Astronomical Soc. 241, 15-27 (1989)
2. BINNEY, J., TREMAINE, S.: Galactic Dynamics. Princeton University Press, 1987
3. BRAASCH, P., REIN, G., VUKADINOVIĆ, J.: Nonlinear stability of stationary plasmas - an extension of the energy-Casimir method. SIAM J. Applied Math. 59, 831-844 (1999)
4. FRIDMAN, A.M., POLYACHENKO, V.L.: Physics of Gravitating Systems I. Springer-Verlag, New York, 1984
5. GUO, Y.: Variational method in polytropic galaxies. Arch. Rational Mech. Anal. 150, 209-224 (1999)
6. GUO, Y.: On the generalized Antonov's stability criterion. Contem. Math. 263, 85-107 (2000)
7. GUO, Y., REIN, G.: Stable steady states in stellar dynamics. Arch. Rational Mech. Anal. 147, 225-243 (1999)
8. GUO, Y., REIN, G.: Existence and stability of Camm type steady states in galactic dynamics. Indiana Univ. Math. J. 48, 1237-1255 (1999)
9. GUO, Y., REIN, G.: Isotropic steady states in galactic dynamics. Commun. Math. Phys. 219, 607-629 (2001)
10. GUO, Y., REIN, G.: Stable models of elliptical galaxies. Preprint
11. GUO, Y., STRAUSS, W.: Nonlinear instability of double-humped equilibria. Ann. Inst. Henri Poincaré 12, 339-352 (1995)
12. GUO, Y., STRAUSS, W.: Instability of periodic BGK equilibria. Comm. Pure Appl. Math. 48, 861-894 (1995)
13. HORST, E.: On the asymptotic growth of the solutions of the Vlasov-Poisson system. Math. Meth. Appl. Sci. 16, 75-85 (1993)
14. LIONS, P.L., PERTHAME, B.: Propagation of moments and regularity for the three dimensional Vlasov-Poisson system. Invent. Math. 105, 415-430 (1991)
15. PFAFEELMOSER, K.: Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data. J. Diff. Eqns. 95, 281-303 (1992)
16. REIN, G.: Nonlinear stability for the Vlasov-Poisson system - the energy - Casimir method. Math. Meth. Appl. Sci. 17, 1129-1140 (1994)
17. REIN, G.: Flat steady states in stellar dynamics - existence and stability. Commun. Math. Phys. 205, 229-247 (1999)
18. REIN, G.: Stability of spherically symmetric steady states in galactic dynamics against general perturbations. Arch. Rational Mech. Anal. 161, 27-42 (2002)
19. SCHAEFFER, J.: Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Commun. Part. Diff. Eqns. 16, 1313-1335 (1991)
20. WAN, Y.-H.: On nonlinear stability of isotropic models in stellar dynamics. Arch. Rational Mech. Anal. 147, 245-268 (1999)
21. WOLANSKY, G.: On nonlinear stability of polytropic galaxies. Ann. Inst. Henri Poincarć 16, 15-48 (1999)