# A remark on the geometry of uniformly rotating stars

@article{Chanillo2012ARO,
title={A remark on the geometry of uniformly rotating stars},
author={Sagun Chanillo and Georg Sebastian Weiss},
journal={Journal of Differential Equations},
year={2012},
volume={253},
pages={553-562}
}
• Published 14 September 2011
• Physics
• Journal of Differential Equations
12 Citations

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## References

SHOWING 1-10 OF 24 REFERENCES
On diameters of uniformly rotating stars
• Mathematics
• 1994
In this paper we study the compressible fluid model of uniformly rotating starts. It was proved in [Li] that for a given mass, there exists an equilibrium solution to the problem if the angular
EXISTENCE OF ROTATING STARS WITH PRESCRIBED ANGULAR VELOCITY LAW
The existence of solutions of the equations for a self-gravitating uid with prescribed angular velocity law is proved. The conditions on the angular velocity are nearly optimal. The system is
Rotating Fluids with Self-Gravitation in Bounded Domains
• Mathematics, Physics
• 2004
Abstract.In this paper, we study the steady solutions of Euler-Poisson equations in bounded domains with prescribed angular velocity. This models a rotating Newtonian star consisting of a
Theory of rotating stars
Ever since the first observations of sunspots in the early seventeenth century, stellar rotation has been a major topic in astronomy and astrophysics. Jean-Louis Tassoul synthesizes a large number of
An Introduction to the Study of Stellar Structure
EDDINGTON'S “Internal Constitution of the Stars” was published in 1926 and gives what now ranks as a classical account of his own researches and of the general state of the theory at that time. Since
On the singularities of a free boundary through Fourier expansion
• Mathematics
• 2010
AbstractIn this paper we are concerned with singular points of solutions to the unstable free boundary problem $$\Delta u = - \chi_{\{u>0\}} \quad\hbox{in } B_1.$$ The problem arises in applications
Uniform Regularity Close to Cross Singularities in an Unstable Free Boundary Problem
• Mathematics
• 2010
AbstractWe introduce a new method for the analysis of singularities in the unstable problem $$\Delta u = -\chi_{\{u >0 \}},$$which arises in solid combustion as well as in the composite membrane
An unstable elliptic free boundary problem arising in solid combustion
• Mathematics, Philosophy
• 2005
We prove a regularity result for the unstable elliptic free boundary problem ∆u = −χ{u>0} (0.1) related to traveling waves in a problem arising in solid combustion. The maximal solution and every