Growth and accretion of mass in an astrophysical model
Biler, Piotr
Applicationes Mathematicae, Tome 23 (1995), p. 179-189 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We study asymptotic behavior of radial solutions of a nonlocal Fokker-Planck equation describing the evolution of self-attracting particles. In particular, we consider stationary solutions in balls and in the whole space, self-similar solutions defined globally in time, blowing up self-similar solutions, and singularities of solutions that blow up in a finite time.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:219124 
@article{bwmeta1.element.bwnjournal-article-zmv23i2p179bwm,
     author = {Piotr Biler},
     title = {Growth and accretion of mass in an astrophysical model},
     journal = {Applicationes Mathematicae},
     volume = {23},
     year = {1995},
     pages = {179-189},
     zbl = {0838.35105},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv23i2p179bwm}
}

Biler, Piotr. Growth and accretion of mass in an astrophysical model. Applicationes Mathematicae, Tome 23 (1995) pp. 179-189. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv23i2p179bwm/

[000] [1] P. Biler, The Cauchy problem and self-similar solutions for a nonlinear parabolic equation, Studia Math. 114 (1995), 181-205. | Zbl 0829.35044

[001] [2] P. Biler, Existence and nonexistence of solutions for a model of gravitational interaction of particles, III, Colloq. Math. 68 (1995), 229-239. | Zbl 0836.35076

[002] [3] P. Biler, W. Hebisch and T. Nadzieja, The Debye system: existence and large time behavior of solutions, Nonlinear Anal. 23 (1994), 1189-1209. | Zbl 0814.35054

[003] [4] 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. | Zbl 0832.35015

[004] [5] P. Biler and T. Nadzieja, A class of nonlocal parabolic problems occurring in statistical mechanics, ibid. 66 (1993), 131-145. | Zbl 0818.35046

[005] [6] P. Biler and T. Nadzieja, Existence and nonexistence of solutions for a model of gravitational interaction of particles, I, ibid. 66 (1994), 319-334. | Zbl 0817.35041

[006] [7] A. Krzywicki and T. Nadzieja, Some results concerning the Poisson-Boltzmann equation, Zastos. Mat. 21 (1991), 265-272. | Zbl 0756.35029

[007] [8] A. Krzywicki and T. Nadzieja, A note on the Poisson-Boltzmann equation, ibid. 21 (1993), 591-595. | Zbl 0780.35033

[008] [9] T. Nadzieja, A model of a radially symmetric cloud of self-attracting particles, Appl. Math. (Warsaw) 23 (1995), 169-178. | Zbl 0839.35110

[009] [10] G. Wolansky, On steady distributions of self-attracting clusters under friction and fluctuations, Arch. Rational Mech. Anal. 119 (1992), 355-391. | Zbl 0774.76069

[010] [11] G. Wolansky, On the evolution of self-interacting clusters and applications to semilinear equations with exponential nonlinearity, J. Analyse Math. 59 (1992), 251-272. | Zbl 0806.35134