The global branching of rotating stars

DOI10.1007/BF00375402zbMath0734.76024MaRDI QIDQ811244

J. F. G. Auchmuty

Publication date: 1991

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

stabilitypolytropic equation of statestarLeray-Schauder degree theoryrotating self-gravitating compressible fluids

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Galactic and stellar dynamics (85A05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (19)

Continua of steadily rotating stars ⋮ On uniformly rotating binary stars and galaxies ⋮ On diameters of uniformly rotating stars ⋮ Global weak solutions to the \(\alpha\)-model regularization for 3D compressible Euler-Poisson equations ⋮ Rapidly rotating stars ⋮ Some results on Newtonian gaseous stars -- existence and stability ⋮ Steady States of Rotating Stars and Galaxies ⋮ Stability of rotating gaseous stars ⋮ Existence of Rotating Stars with Variable Entropy ⋮ The uniqueness of the slowly uniformly rotating supermassive star for a given total mass ⋮ Asymptotic estimates for slowly rotating Newtonian stars ⋮ On rotating axisymmetric solutions of the Euler-Poisson equations ⋮ On uniformly rotating stars ⋮ Existence of magnetic compressible fluid stars ⋮ On slowly rotating axisymmetric solutions of the Euler-Poisson equations ⋮ Existence of rotating planet solutions to the Euler-Poisson equations with an inner hard core ⋮ Nonlinear dynamical stability of Newtonian rotating and non-rotating white dwarfs and rotating supermassive stars ⋮ Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations ⋮ Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass

Cites Work

• The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
• Asymptotic estimates for an axisymmetric rotating fluid
• The shape of axisymmetric rotating fluid
• On the number of solutions of asymptotically superlinear two point boundary value problems
• Some global results for nonlinear eigenvalue problems
• Variational solutions of some nonlinear free boundary problems
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