메뉴 건너뛰기




Volumn 23, Issue 6, 2006, Pages 781-802

Orbital stability for polytropic galaxies

Author keywords

Concentration compactness; Direct variational methods; Galilean invariance; Gravitation; Orbital stability; Polytropic gas spheres; Stellar dynamics; Vlasov Poisson system

Indexed keywords

GALAXIES; GRAVITATIONAL EFFECTS; POISSON DISTRIBUTION;

EID: 33750167352     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2006.02.001     Document Type: Article
Times cited : (26)

References (23)
  • 1
    • 0013261947 scopus 로고
    • Remarks on the problems of stability in stellar dynamics
    • Antonov V.A. Remarks on the problems of stability in stellar dynamics. Soviet Astron. AJ. 4 (1961) 859-867
    • (1961) Soviet Astron. AJ. , vol.4 , pp. 859-867
    • Antonov, V.A.1
  • 2
    • 0013441127 scopus 로고
    • Solution of the problem of stability of a stellar system with the Emden density law and spherical velocity distribution
    • Antonov V.A. Solution of the problem of stability of a stellar system with the Emden density law and spherical velocity distribution. J. Leningrad Univ. Ser. Mekh. Astro. 7 (1962) 135-146
    • (1962) J. Leningrad Univ. Ser. Mekh. Astro. , vol.7 , pp. 135-146
    • Antonov, V.A.1
  • 3
    • 0001604661 scopus 로고
    • Dynamical instabilities in spherical stellar systems
    • Barnes J., Goodman J., and Hut P. Dynamical instabilities in spherical stellar systems. Astrophys. J. 300 (1986) 112-131
    • (1986) Astrophys. J. , vol.300 , pp. 112-131
    • Barnes, J.1    Goodman, J.2    Hut, P.3
  • 4
    • 84995335518 scopus 로고    scopus 로고
    • J. Batt, A survey of recent results in the investigation of the Vlasov-Poisson system and questions open for further research, in: L.L. Bonilla, B. Perthame, J. Soler, J.L. Vázquez (Eds.), European Workshop on Kinetic Equations, Book of Abstracts, Granada, Spain, 1996
  • 5
    • 0001138905 scopus 로고
    • Stationary spherically symmetric models in stellar dynamics
    • Batt J., Faltenbacher W., and Horst E. Stationary spherically symmetric models in stellar dynamics. Arch. Rational Mech. Anal. 93 2 (1986) 159-183
    • (1986) Arch. Rational Mech. Anal. , vol.93 , Issue.2 , pp. 159-183
    • Batt, J.1    Faltenbacher, W.2    Horst, E.3
  • 6
    • 2942580503 scopus 로고    scopus 로고
    • An Introduction to Nonlinear Schrödinger Equations
    • Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ
    • Cazenave T. An Introduction to Nonlinear Schrödinger Equations. Textos de Métodos Matemáticos. third ed. vol. 26 (1996), Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ
    • (1996) Textos de Métodos Matemáticos. third ed. , vol.26
    • Cazenave, T.1
  • 7
    • 0000090159 scopus 로고
    • Orbital stability of standing waves for some nonlinear Schrödinger equations
    • Cazenave T., and Lions P.L. Orbital stability of standing waves for some nonlinear Schrödinger equations. Commun. Math. Phys. 85 (1982) 549-561
    • (1982) Commun. Math. Phys. , vol.85 , pp. 549-561
    • Cazenave, T.1    Lions, P.L.2
  • 8
    • 12144289291 scopus 로고    scopus 로고
    • Asymptotic behaviour for the Vlasov-Poisson system in the stellar dynamics case
    • Dolbeault J., Sánchez O., and Soler J. Asymptotic behaviour for the Vlasov-Poisson system in the stellar dynamics case. Arch. Rational Mech. Anal. 171 (2004) 301-327
    • (2004) Arch. Rational Mech. Anal. , vol.171 , pp. 301-327
    • Dolbeault, J.1    Sánchez, O.2    Soler, J.3
  • 9
    • 0000468151 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry, I
    • Grillakis M., Shatah J., and Strauss W. Stability theory of solitary waves in the presence of symmetry, I. J. Func. Anal. 74 (1987) 160-197
    • (1987) J. Func. Anal. , vol.74 , pp. 160-197
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 10
    • 29444432472 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry, II
    • Grillakis M., Shatah J., and Strauss W. Stability theory of solitary waves in the presence of symmetry, II. J. Func. Anal. 94 (1990) 308-348
    • (1990) J. Func. Anal. , vol.94 , pp. 308-348
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 11
    • 0033270408 scopus 로고    scopus 로고
    • Variational method for stable polytropic galaxies
    • Guo Y. Variational method for stable polytropic galaxies. Arch. Rational Mech. Anal. 150 (1999) 209-224
    • (1999) Arch. Rational Mech. Anal. , vol.150 , pp. 209-224
    • Guo, Y.1
  • 12
    • 0002505093 scopus 로고    scopus 로고
    • On the generalized Antonov's stability criterion
    • Guo Y. On the generalized Antonov's stability criterion. Contemp. Math. 150 (2000) 85-107
    • (2000) Contemp. Math. , vol.150 , pp. 85-107
    • Guo, Y.1
  • 13
    • 0033433823 scopus 로고    scopus 로고
    • Stable steady states in stellar dynamics
    • Guo Y., and Rein G. Stable steady states in stellar dynamics. Arch. Rational Mech. Anal. 147 (1999) 225-243
    • (1999) Arch. Rational Mech. Anal. , vol.147 , pp. 225-243
    • Guo, Y.1    Rein, G.2
  • 14
    • 0035373468 scopus 로고    scopus 로고
    • Isotropic steady states in galactic dynamics
    • Guo Y., and Rein G. Isotropic steady states in galactic dynamics. Commun. Math. Phys. 209 (2001) 607-629
    • (2001) Commun. Math. Phys. , vol.209 , pp. 607-629
    • Guo, Y.1    Rein, G.2
  • 16
    • 0001202097 scopus 로고
    • Numerical experiments on the stability of spherical stellar systems
    • Hénon M. Numerical experiments on the stability of spherical stellar systems. Astronom. Astrophys. 24 (1973) 229-238
    • (1973) Astronom. Astrophys. , vol.24 , pp. 229-238
    • Hénon, M.1
  • 17
    • 0004148844 scopus 로고    scopus 로고
    • American Mathematical Society, Providence, RI
    • Lieb E., and Loss M. Analysis. second ed. (2001), American Mathematical Society, Providence, RI
    • (2001) Analysis. second ed.
    • Lieb, E.1    Loss, M.2
  • 18
    • 0001515315 scopus 로고
    • Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system
    • Lions P.L., and Perthame B. Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system. Invent. Math. 105 2 (1991) 415-430
    • (1991) Invent. Math. , vol.105 , Issue.2 , pp. 415-430
    • Lions, P.L.1    Perthame, B.2
  • 19
    • 0035556339 scopus 로고    scopus 로고
    • Reduction and a concentration-compactness principle for energy-Casimir functionals
    • Rein G. Reduction and a concentration-compactness principle for energy-Casimir functionals. SIAM J. Math. Anal. 33 (2001) 896-912
    • (2001) SIAM J. Math. Anal. , vol.33 , pp. 896-912
    • Rein, G.1
  • 20
    • 0036002843 scopus 로고    scopus 로고
    • Stability of spherically symmetric steady states in galactic dynamics against general perturbations
    • Rein G. Stability of spherically symmetric steady states in galactic dynamics against general perturbations. Arch. Rational Mech. Anal. 161 (2002) 27-42
    • (2002) Arch. Rational Mech. Anal. , vol.161 , pp. 27-42
    • Rein, G.1
  • 21
    • 2142822170 scopus 로고    scopus 로고
    • Steady states in galactic dynamics
    • Schaeffer J. Steady states in galactic dynamics. Arch. Rational Mech. Anal. 172 (2004) 1-19
    • (2004) Arch. Rational Mech. Anal. , vol.172 , pp. 1-19
    • Schaeffer, J.1
  • 22
    • 0033434344 scopus 로고    scopus 로고
    • On nonlinear stability of isotropic models in stellar dynamics
    • Wan Y.H. On nonlinear stability of isotropic models in stellar dynamics. Arch. Rational Mech. Anal. 147 (1999) 245-268
    • (1999) Arch. Rational Mech. Anal. , vol.147 , pp. 245-268
    • Wan, Y.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.