Advanced Search
Article Contents
Article Contents

A nonlocal problem describing spherical system of stars

Abstract Related Papers Cited by
  • We prove in this note the existence and uniqueness of solutions of a nonlocal problem appearing as a model of galaxy in early stage of evolution. Some properties of solutions are also given.
    Mathematics Subject Classification: Primary: 34A12; Secondary: 85A15.


    \begin{equation} \\ \end{equation}
  • [1]

    T. A. Agekyan, Spherical systems of stars and galaxies in early stage of evolution, (Russian) Vestnik Leningrad Univ., I (1962), 153-161.


    P. Biler and T. Nadzieja, Structure of steady states for Streater's energy-transport models of gravitating particles, Topological Methods in Nonlinear Analysis, 19 (2002), 283-301.


    P. Biler, T. Nadzieja and R. Stańczy, Nonisothermal systems of self-attracting Fermi-Dirac particles, Banach Center Publ., 66 (2004), 61-78.doi: 10.4064/bc66-0-5.


    P. Biler, Ph. Laurençot and T. Nadzieja, On an evolution system describing self-gravitating Fermi-Dirac particles, Adv. Diff.Eq., 9 (2004), 563-586.


    P. Biler and R. Stańczy, Nonlinear diffusion models for self-gravitating particles, Intern. Ser. Numer. Math, 154 (2007), 107-116.doi: 10.1007/978-3-7643-7719-9_11.


    J. Binney, S. Tremaine, Galactic Dynamics, Princeton Univ. Press, Princeton, 1987.doi: 10.1063/1.2811635.


    A. M. Friedman and V. L. Polyachenko, Physics of Gravitating Systems I: Equilibrium and Stability, Springer, New York, 1984.doi: 10.1007/978-3-642-87833-6.


    A. Krzywicki and T. Nadzieja, Nonlocal elliptic problems, Banach Center Publ., 52 (2000), 147-152.

  • 加载中

Article Metrics

HTML views() PDF downloads(61) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint