Existence of rotating planet solutions to the Euler-Poisson equations with an inner hard core

DOI10.1007/s00205-015-0891-9zbMath1333.35268arXiv1410.3719OpenAlexW3101846666MaRDI QIDQ5962856

Yilun Wu

Publication date: 25 February 2016

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

Full work available at URL: https://arxiv.org/abs/1410.3719

zbMATH Keywords

Euler-Poisson equationsgaseous starsinner rocky core

Mathematics Subject Classification ID

Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (7)

Global existence for the \(N\) body Euler-Poisson system ⋮ Rapidly rotating stars ⋮ Some results on Newtonian gaseous stars -- existence and stability ⋮ Steady States of Rotating Stars and Galaxies ⋮ Existence of Rotating Stars with Variable Entropy ⋮ Global continuation and the theory of rotating stars ⋮ Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass

Cites Work

• Unnamed Item
• The global branching of rotating stars
• Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations
• 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
• On diameters of uniformly rotating stars
• Rotating fluids with self-gravitation in bounded domains
• Variational solutions of some nonlinear free boundary problems

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