A nonlocal problem describing spherical system of stars

Marcin Bugdoł; Tadeusz Nadzieja

doi:10.3934/dcdsb.2014.19.2417

Article Contents

2014, Volume 19, Issue 8: 2417-2423. Doi: 10.3934/dcdsb.2014.19.2417

This issue Previous Article Systems described by Volterra type integral operators Next Article Analysis of two quasistatic history-dependent contact models

A nonlocal problem describing spherical system of stars

Marcin Bugdoł^1, and
Tadeusz Nadzieja^1,

1.
Institute of Mathematics and Computer Science, Opole University, ul. Oleska 48, 45-052 Opole

Received: March 2014

Revised: April 2014

Published: October 2014

Abstract / Introduction Related Papers Cited by

Abstract

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.

Keywords:

Mathematics Subject Classification: Primary: 34A12; Secondary: 85A15.

Citation:

Related Papers

Cited by

References

[1]	T. A. Agekyan, Spherical systems of stars and galaxies in early stage of evolution, (Russian) Vestnik Leningrad Univ., I (1962), 153-161.
[2]	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.
[3]	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.
[4]	P. Biler, Ph. Laurençot and T. Nadzieja, On an evolution system describing self-gravitating Fermi-Dirac particles, Adv. Diff.Eq., 9 (2004), 563-586.
[5]	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.
[6]	J. Binney, S. Tremaine, Galactic Dynamics, Princeton Univ. Press, Princeton, 1987.doi: 10.1063/1.2811635.
[7]	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.
[8]	A. Krzywicki and T. Nadzieja, Nonlocal elliptic problems, Banach Center Publ., 52 (2000), 147-152.