Linearized analysis of barotropic perturbations around spherically symmetric gaseous stars governed by the Euler–Poisson equations

DOI10.1063/1.5088843zbMath1444.76057arXiv1810.08294OpenAlexW2896207317MaRDI QIDQ3298932

Juhi Jang, Tetu Makino

Publication date: 16 July 2020

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

Full work available at URL: https://arxiv.org/abs/1810.08294

zbMATH Keywords

eigenvalueweighted Sobolev spaceelliptic regularityirrotational perturbationSturm-Liuoville spectrum

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

On linear adiabatic perturbations of spherically symmetric gaseous stars governed by the Euler-Poisson equations ⋮ Stability of rotating gaseous stars ⋮ On adiabatic oscillations of a stratified atmosphere on the flat earth

Cites Work

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• Elliptic partial differential equations of second order
• On rotating axisymmetric solutions of the Euler-Poisson equations
• On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations
• Quasilinear Dirichlet problems driven by positive sources
• Nonlinear Instability Theory of Lane-Emden Stars
• Continuous and compact imbeddings of weighted Sobolev spaces. II
• Stability of Gaseous Stars in Spherically Symmetric Motions
• Stellar Rotation
• The poloidal-toroidal representation of solenoidal fields in spherical domains
• The spectrum of radial adiabatic stellar oscillations
• Spectral Theory and its Applications
• A General Variational Principle Governing the Radial and the Non-Radial Oscillations of Gaseous Masses.
• On the Stability of Differentially Rotating Bodies