Existence and nonexistence of solutions for a model of gravitational interaction of particles, II

Piotr Biler; Danielle Hilhorst; Tadeusz Nadzieja

Colloquium Mathematicae (1994)

  • Volume: 67, Issue: 2, page 297-308
  • ISSN: 0010-1354

Abstract

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We study the existence and nonexistence in the large of radial solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles. The blow-up of solutions defined in the n-dimensional ball with large initial data is connected with the nonexistence of radial stationary solutions with a large mass.

How to cite

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Biler, Piotr, Hilhorst, Danielle, and Nadzieja, Tadeusz. "Existence and nonexistence of solutions for a model of gravitational interaction of particles, II." Colloquium Mathematicae 67.2 (1994): 297-308. <http://eudml.org/doc/210282>.

@article{Biler1994,
abstract = {We study the existence and nonexistence in the large of radial solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles. The blow-up of solutions defined in the n-dimensional ball with large initial data is connected with the nonexistence of radial stationary solutions with a large mass.},
author = {Biler, Piotr, Hilhorst, Danielle, Nadzieja, Tadeusz},
journal = {Colloquium Mathematicae},
keywords = {nonlinear boundary conditions; blowing-up solutions; global existence of solutions; parabolic-elliptic system; blow-up; nonlinear no-flux condition; global solvability},
language = {eng},
number = {2},
pages = {297-308},
title = {Existence and nonexistence of solutions for a model of gravitational interaction of particles, II},
url = {http://eudml.org/doc/210282},
volume = {67},
year = {1994},
}

TY - JOUR
AU - Biler, Piotr
AU - Hilhorst, Danielle
AU - Nadzieja, Tadeusz
TI - Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
JO - Colloquium Mathematicae
PY - 1994
VL - 67
IS - 2
SP - 297
EP - 308
AB - We study the existence and nonexistence in the large of radial solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles. The blow-up of solutions defined in the n-dimensional ball with large initial data is connected with the nonexistence of radial stationary solutions with a large mass.
LA - eng
KW - nonlinear boundary conditions; blowing-up solutions; global existence of solutions; parabolic-elliptic system; blow-up; nonlinear no-flux condition; global solvability
UR - http://eudml.org/doc/210282
ER -

References

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