On the existence and properties of the rotationally symmetric equilibrium state of compressible barotropic self-gravitating fluids

Gerhard Strohmer; Wojciech Zajaczkowski

doi:10.1512/iumj.1997.46.1380

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On the existence and properties of the rotationally symmetric equilibrium state of compressible barotropic self-gravitating fluids

Journal article

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On the existence and properties of the rotationally symmetric equilibrium state of compressible barotropic self-gravitating fluids

Gerhard Strohmer and Wojciech Zajaczkowski

Indiana University mathematics journal, Vol.46(4), pp.1181-1220

1997

DOI: 10.1512/iumj.1997.46.1380

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Abstract

The present paper proves that the spherically symmetric solution of the Lane-Emden equation is a strict local minimum of the energy even with respect to perturbations which are not spherically symmetric. This energy includes a term representing a fixed outside pressure.

Details

Title: Subtitle: On the existence and properties of the rotationally symmetric equilibrium state of compressible barotropic self-gravitating fluids
Creators: Gerhard Strohmer
Wojciech Zajaczkowski
Resource Type: Journal article
Publication Details: Indiana University mathematics journal, Vol.46(4), pp.1181-1220
DOI: 10.1512/iumj.1997.46.1380
ISSN: 0022-2518
eISSN: 1943-5258
Language: English
Date published: 1997
Academic Unit: Mathematics
Record Identifier: 9983985859702771

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