# 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

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topBiler, 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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## Citations in EuDML Documents

top- Piotr Biler, Existence and nonexistence of solutions for a model of gravitational interaction of particles, III
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- Piotr Biler, Tadeusz Nadzieja, Growth and accretion of mass in an astrophysical model, II
- Piotr Biler, The Cauchy problem and self-similar solutions for a nonlinear parabolic equation
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