Growth and accretion of mass in an astrophysical model, II
Applicationes Mathematicae (1995)
- Volume: 23, Issue: 3, page 351-361
- ISSN: 1233-7234
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topBiler, Piotr, and Nadzieja, Tadeusz. "Growth and accretion of mass in an astrophysical model, II." Applicationes Mathematicae 23.3 (1995): 351-361. <http://eudml.org/doc/219137>.
@article{Biler1995,
abstract = {Radially symmetric solutions of a nonlocal Fokker-Planck equation describing the evolution of self-attracting particles in a bounded container are studied. Conditions ensuring either global-in-time existence of solutions or their finite time blow up are given.},
author = {Biler, Piotr, Nadzieja, Tadeusz},
journal = {Applicationes Mathematicae},
keywords = {radial solutions; global and blowing up solutions; nonlinear parabolic equation; nonlocal Fokker-Planck equation; global-in-time existence; blow up},
language = {eng},
number = {3},
pages = {351-361},
title = {Growth and accretion of mass in an astrophysical model, II},
url = {http://eudml.org/doc/219137},
volume = {23},
year = {1995},
}
TY - JOUR
AU - Biler, Piotr
AU - Nadzieja, Tadeusz
TI - Growth and accretion of mass in an astrophysical model, II
JO - Applicationes Mathematicae
PY - 1995
VL - 23
IS - 3
SP - 351
EP - 361
AB - Radially symmetric solutions of a nonlocal Fokker-Planck equation describing the evolution of self-attracting particles in a bounded container are studied. Conditions ensuring either global-in-time existence of solutions or their finite time blow up are given.
LA - eng
KW - radial solutions; global and blowing up solutions; nonlinear parabolic equation; nonlocal Fokker-Planck equation; global-in-time existence; blow up
UR - http://eudml.org/doc/219137
ER -
References
top- [1] P. Biler, Growth and accretion of mass in an astrophysical model, Appl. Math. (Warsaw) 23 (1995), 179-189. Zbl0838.35105
- [2] P. Biler, Local and global solutions of a nonlinear nonlocal parabolic problem, in: Proc. of the Banach Center minisemester 'Nonlinear Analysis and Applications', to appear. Zbl0877.35054
- [3] P. Biler, Existence and nonexistence of solutions for a model of gravitational interaction of particles, III, Colloq. Math. 68 (1995), 229-339.
- [4] P. Biler, D. Hilhorst and T. Nadzieja, Existence and nonexistence of solutions for a model of gravitational interaction of particles, II, ibid. 67 (1994), 297-308. Zbl0832.35015
- [5] P. Biler and T. Nadzieja, Existence and nonexistence of solutions for a model of gravitational interaction of particles, I, ibid. 66 (1994), 319-334. Zbl0817.35041
- [6] A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, N.J., 1964. Zbl0144.34903
- [7] W. Jäger and S. Luckhaus, On explosions of solutions to a system of partial differential equations modelling chemotaxis, Trans. Amer. Math. Soc. 329 (1992), 819-824. Zbl0746.35002
- [8] S. Karlin and H. M. Taylor, A Second Course in Stochastic Processes, Academic Press, New York, 1981.
- [9] O. A. Ladyženskaja [O. A. Ladyzhenskaya], V. A. Solonnikov and N. N. Ural'ceva [N. N. Ural'tseva], Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc., Providence, R.I., 1988.
- [10] T. Nadzieja, A model of a radially symmetric cloud of self-attracting particles, Appl. Math. (Warsaw) 23 (1995), 169-178. Zbl0839.35110
- [11] G. Wolansky, On steady distributions of self-attracting clusters under friction and fluctuations, Arch. Rational Mech. Anal. 119 (1992), 355-391. Zbl0774.76069
- [12] G. Wolansky, On the evolution of self-interacting clusters and applications to semilinear equations with exponential nonlinearity, J. Anal. Math. 59 (1992), 251-272. Zbl0806.35134
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