On rotating star solutions to the non-isentropic Euler-Poisson equations

DOI10.1016/J.JDE.2015.08.016zbMath1333.35173arXiv1309.0175OpenAlexW2963725518MaRDI QIDQ499531

Yilun Wu

Publication date: 30 September 2015

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

Full work available at URL: https://arxiv.org/abs/1309.0175

zbMATH Keywords

calculus of variationssubsolutionsupersolutionsEuler-Poisson systemrotating star

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Variational methods for elliptic systems (35J50) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Euler equations (35Q31)

Related Items (12)

Continua of steadily rotating stars ⋮ Global existence for the \(N\) body Euler-Poisson system ⋮ A Model of Radiational Gaseous Stars ⋮ 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 solutions to physical vacuum problem of non-isentropic viscous gaseous stars and nonlinear asymptotic stability of stationary solutions ⋮ On the expanding configurations of viscous radiation gaseous stars: thermodynamic model ⋮ Global continuation and the theory of rotating stars ⋮ 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

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• The concentration-compactness principle in the calculus of variations. The locally compact case. I
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• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• Elliptic partial differential equations of second order
• Rotating fluids with self-gravitation in bounded domains
• Variational solutions of some nonlinear free boundary problems
• On the regularity of the solution of a variational inequality

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