On rotating axisymmetric solutions of the Euler-Poisson equations

DOI10.1016/j.jde.2018.09.023zbMath1406.35280arXiv1712.05241OpenAlexW2581321107MaRDI QIDQ1710727

Tetu Makino, Juhi Jang

Publication date: 23 January 2019

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

Full work available at URL: https://arxiv.org/abs/1712.05241

zbMATH Keywords

nonlinear integral equationfree boundaryEuler-Poisson equationsaxisymmetric solutionsstellar rotation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Other nonlinear integral equations (45G10) Gas dynamics (general theory) (76N15) Magnetohydrodynamics and electrohydrodynamics (76W05) Galactic and stellar structure (85A15) Semilinear elliptic equations (35J61) Axially symmetric solutions to PDEs (35B07) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (12)

Continua of steadily rotating stars ⋮ Global existence for the \(N\) body Euler-Poisson system ⋮ On uniformly rotating binary stars and galaxies ⋮ The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion ⋮ Continued Gravitational Collapse for Gaseous Star and Pressureless Euler--Poisson System ⋮ 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 ⋮ Linearized analysis of barotropic perturbations around spherically symmetric gaseous stars governed by the Euler–Poisson equations ⋮ On the axisymmetric metric generated by a rotating perfect fluid with the vacuum boundary ⋮ Newtonian limit for the relativistic Euler-Poisson equations with vacuum ⋮ Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass

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