Stable Steady States in Stellar Dynamics

  title={Stable Steady States in Stellar Dynamics},
  author={Yan Guo Lefschetz},
  • Yan Guo Lefschetz
  • Published 1999
We prove the existence and nonlinear stability of steady states of the Vlasov-Poisson system in the stellar dynamics case. The steady states are obtained as minimizers of an energy-Casimir functional from which fact their dynamical stability is deduced. The analysis applies to some of the well-known polytropic steady states, but it also considerably extends the class of known steady states. 

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 18 references

On the radius continuity of the models of polytropic gas spheres which corresponds to the positive solutions of the generalized Emden

  • J. Batt, K. Pfaffermoser
  • Fowler equation. Math. Meth. in the Appl. Sci
  • 1988
Highly Influential
4 Excerpts

Stable magnetic equilibria in a symmetric collisionless plasma

  • Y. Guo
  • Preprint
  • 1998
1 Excerpt

Stable magnetic equilibria in collisionless plasmas

  • Y. Guo
  • Comm. Pure and Applied Math. Vol L,
  • 1997
1 Excerpt

Instability of periodic BGK equilibria

  • Y. Guo, W. Strauss
  • Comm. Pure Appl. Math. 48,
  • 1995
1 Excerpt

Linear stability of stationary solutions of the Vlasov-Poisson system in three dimensions

  • J. Batt, P. Morrison, G. Rein
  • Arch. Rational Mech. Anal. 130,
  • 1995
1 Excerpt

Nonlinear instability of double-humped equilibria

  • Y. Guo, W. Strauss
  • Ann. Inst. Henri Poincaré 12,
  • 1995
1 Excerpt

On nonlinear stability of polytropic galaxies

  • G. Wolansky
  • Preprint
  • 1995
1 Excerpt

Nonlinear stability for the Vlasov-Poisson system—the energy-Casimir method

  • G. Rein
  • Math. Meth. in the Appl. Sci
  • 1994
1 Excerpt

Similar Papers

Loading similar papers…