# A model of a radially symmetric cloud of self-attracting particles

Applicationes Mathematicae (1995)

- Volume: 23, Issue: 2, page 169-178
- ISSN: 1233-7234

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topNadzieja, Tadeusz. "A model of a radially symmetric cloud of self-attracting particles." Applicationes Mathematicae 23.2 (1995): 169-178. <http://eudml.org/doc/219123>.

@article{Nadzieja1995,

abstract = {We consider a parabolic equation which describes the gravitational interaction of particles. Existence of solutions and their convergence to stationary states are studied.},

author = {Nadzieja, Tadeusz},

journal = {Applicationes Mathematicae},

keywords = {asymptotic behavior; cloud of particles; nonlinear parabolic equation; radially symmetric solutions; existence; gravitational interaction of particles; stationary states},

language = {eng},

number = {2},

pages = {169-178},

title = {A model of a radially symmetric cloud of self-attracting particles},

url = {http://eudml.org/doc/219123},

volume = {23},

year = {1995},

}

TY - JOUR

AU - Nadzieja, Tadeusz

TI - A model of a radially symmetric cloud of self-attracting particles

JO - Applicationes Mathematicae

PY - 1995

VL - 23

IS - 2

SP - 169

EP - 178

AB - We consider a parabolic equation which describes the gravitational interaction of particles. Existence of solutions and their convergence to stationary states are studied.

LA - eng

KW - asymptotic behavior; cloud of particles; nonlinear parabolic equation; radially symmetric solutions; existence; gravitational interaction of particles; stationary states

UR - http://eudml.org/doc/219123

ER -

## References

top- [1] P. Biler, The Cauchy problem and self-similar solutions for a nonlinear parabolic equation, preprint 1994. Zbl0829.35044
- [2] P. Biler, D. Hilhorst and T. Nadzieja, Existence and nonexistence of solutions for a model of gravitational interaction of particles, II, Colloq. Math. 67 (1994), 297-308. Zbl0832.35015
- [3] P. Biler and T. Nadzieja, A class of nonlocal parabolic problems occurring in statistical mechanics, ibid. 66 (1993), 131-145. Zbl0818.35046
- [4] 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
- [5] W. Chen and C. Li, Classification of solutions of some nonlinear elliptic equations, Duke Math. J. 63 (1991), 615-622. Zbl0768.35025
- [6] A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, N.J., 1964. Zbl0144.34903
- [7] E. Hopf, The partial differential equation u_t + uu_x=u_xx, Comm. Pure Appl. Math. 3 (1950), 201-230. Zbl0039.10403
- [8] A. Krzywicki and T. Nadzieja, Some results concerning the Poisson-Boltzmann equation, Zastos. Mat. 21 (1991), 265-272. Zbl0756.35029
- [9] A. Krzywicki and T. Nadzieja, A note on the Poisson-Boltzmann equation, ibid. 21 (1993), 591-595. Zbl0780.35033
- [10] G. Wolansky, On steady distributions of self-attracting clusters under friction and fluctuations, Arch. Rational Mech. Anal. 119 (1992), 355-391. Zbl0774.76069

## Citations in EuDML Documents

top- Tadeusz Nadzieja, Andrzej Raczyński, A singular radially symmetric problem in electrolytes theory
- Piotr Biler, Existence and nonexistence of solutions for a model of gravitational interaction of particles, III
- Piotr Biler, Tadeusz Nadzieja, Growth and accretion of mass in an astrophysical model, II
- Andrzej Raczyński, On a nonlocal elliptic problem
- Piotr Biler, Growth and accretion of mass in an astrophysical model

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