Euler-Poisson equations related to general compressible rotating fluids

Haigang Li; Jiguang Bao

doi:10.3934/dcds.2011.29.1085

Article Contents

2011, Volume 29, Issue 3: 1085-1096. Doi: 10.3934/dcds.2011.29.1085

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Euler-Poisson equations related to general compressible rotating fluids

Haigang Li^1, and
Jiguang Bao^1,

1.
School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875

Received: February 28, 2010

Revised: July 31, 2010

Published: August 2011

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Abstract

This paper is mainly concerned with Euler-Poisson equations modeling Newtonian stars. We establish the existence of rotating star solutions for general compressible fluids with prescribed angular velocity law, which is the main point distinguished with the case with prescribed angular momentum per unit mass. The compactness of any minimizing sequence is established, which is important from the stability point of view.

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Mathematics Subject Classification: Primary: 35J05; 35J20; Secondary: 85A15.

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