On diameters of uniformly rotating stars

DOI10.1007/BF02112323zbMath0816.76076OpenAlexW2087362856MaRDI QIDQ1344497

Sagun Chanillo, Yan-yan Li

Publication date: 13 February 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02112323

zbMATH Keywords

angular velocityequilibrium solutionwhite dwarfs

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) General theory of rotating fluids (76U05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

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Cites Work

• Unnamed Item
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• The global branching of rotating stars
• The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
• Asymptotic estimates for an axisymmetric rotating fluid
• The shape of axisymmetric rotating fluid
• Existence and dimensions of a rotating white dwarf
• On uniformly rotating stars
• Existence of axisymmetric equilibrium figures
• The free boundary in the Thomas-Fermi atomic model
• Variational solutions of some nonlinear free boundary problems
• The Maximum Mass of Ideal White Dwarfs
• Ellipsoidal figures of equilibrium—an historical account