On a regularized system of self-gravitating particles

René Pinnau; Oliver Tse

doi:10.3934/krm.2014.7.591

Article Contents

2014, Volume 7, Issue 3: 591-604. Doi: 10.3934/krm.2014.7.591

This issue Previous Article One-species Vlasov-Poisson-Landau system near Maxwellians in the whole space Next Article

On a regularized system of self-gravitating particles

René Pinnau^1, and
Oliver Tse^1,

1.
Department of Technomathematics, University of Kaiserslautern, 67663 Kaiserslautern

Received: April 2014

Revised: May 2014

Published: September 2014

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Abstract

We consider a regularized macroscopic model describing a system of self-gravitating particles. We study the existence and uniqueness of nonnegative stationary solutions and allude the differences to results obtained from classical gravitational models. The system is analyzed on a convex, bounded domain up to three spatial dimensions, subject to Neumann boundary conditions for the particle density, and Dirichlet boundary condition for the self-interacting potential. Finally, we show numerical simulations underlining our analytical results.

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Mathematics Subject Classification: Primary: 35D30, 35J57; Secondary: 76Y05.

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