Nonlinear instability in gravitational euler-poisson systems for γ = 6/5

Archive for Rational Mechanics and Analysis

Volumn 188, Issue 2, 2008, Pages 265-307

  Jang, Juhi ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41149163591     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-007-0086-0     Document Type: Article

References (9)

1. Bezard M. (1993) Existence locale de solutions pour les equations d'Euler-Poisson. Jpn. J. Ind. Appl. Math 10: 431-450
2. Braun M. (1993) Differential equations and their applications, 4th edn. Springer, Heidelberg
3. Chandrasekhar S. (1938) An introduction to the study of stellar structures. University of Chicago Press, Chicago
4. Deng Y., Liu T.-P., Yang T., Yao Z.-A. (2002) Solutions of Euler-Poisson equations for gaseous stars. Arch. Ration. Mech. Anal. 164: 261-285
5. Gamblin P. (1993) Solution reguliere a temps petit pour l'equation d'Euler-Poisson. Commun. Partial Differ. Equ. 18: 732-745
6. Guo Y., Strauss W.A. (1995) Instability of periodic BGK equilibria. Commun. Pure Appl. Math 48: 861-894
7. Lin S.-S. (1997) Stability of gaseous stars in spherically symmetric motions. SIAM J. Math. Anal. 28: 539-569
8. Rein G. (2003) Nonlinear stability of gaseous stars. Arch. Ration. Mech. Anal. 168: 261-285
9. Rein, G.: Nonlinear stability of newtonian galaxies and stars from a mathematical perspective. In: Proceedings of Nonlinear Dynamics in Astronomy and Physics, New York Academy of Sciences, 2004