A remark on the geometry of uniformly rotating stars

DOI10.1016/j.jde.2012.04.011zbMath1245.85001arXiv1109.3046OpenAlexW2034381984MaRDI QIDQ432442

Sagun Chanillo, Georg Sebastian Weiss

Publication date: 4 July 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3046

zbMATH Keywords

singular pointfree boundarystar

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Galactic and stellar structure (85A15) Free boundary problems for PDEs (35R35) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (7)

Global existence for the \(N\) body Euler-Poisson system ⋮ A Model of Radiational Gaseous Stars ⋮ A semilinear PDE with free boundary ⋮ On slowly rotating axisymmetric solutions of the Euler-Poisson equations ⋮ On the expanding configurations of viscous radiation gaseous stars: thermodynamic model ⋮ On the expanding configurations of viscous radiation gaseous stars: the isentropic model ⋮ Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the singularities of a free boundary through Fourier expansion
• Cross-shaped and degenerate singularities in an unstable elliptic free boundary problem
• An unstable elliptic free boundary problem arising in solid combustion
• Uniform regularity close to cross singularities in an unstable free boundary problem
• Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• The shape of axisymmetric rotating fluid
• On uniformly rotating stars
• The free boundary in the Thomas-Fermi atomic model
• On diameters of uniformly rotating stars
• Rotating fluids with self-gravitation in bounded domains
• Variational solutions of some nonlinear free boundary problems
• Variational problems with two phases and their free boundaries

This page was built for publication: A remark on the geometry of uniformly rotating stars