Frontiers of Mathematics in China >
Asymptotic estimates for slowly rotating Newtonian stars
Received date: 27 Apr 2011
Accepted date: 08 Oct 2012
Published date: 01 Dec 2012
Copyright
This work is mainly concerned with the rotating Newtonian stars with prescribed angular velocity law. For general compressible fluids, the existence of rotating star solutions was proved by using concentrationcompactness principle. In this paper, we establish the asymptotic estimates on the diameters of the stars with small rotation. The novelty of this paper is that a direct and concise definition of slowly rotating stars is given, different from the case with given angular momentum law, and the most general fluids are considered.
Key words： Slowly rotating star; asymptotic estimate; axi-symmetry
Haigang LI , Jiguang BAO . Asymptotic estimates for slowly rotating Newtonian stars[J]. Frontiers of Mathematics in China, 2012 , 7(6) : 1141 -1149 . DOI: 10.1007/s11464-012-0249-7
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