# 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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