The spectrum of radial adiabatic stellar oscillations

DOI10.1063/1.530922zbMath0871.47014OpenAlexW2036729573MaRDI QIDQ4873355

Horst Reinhard Beyer

Publication date: 6 October 1997

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

Full work available at URL: https://doi.org/10.1063/1.530922

zbMATH Keywords

Sturm-Liouville problempure point spectrumradialtoroidalFriedrichs extensionsspheroidalpolytropic modeladiabatic oscillationsspherically symmetric stars

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Dilations, extensions, compressions of linear operators (47A20) Hydrodynamic stability (76E99) Galactic and stellar dynamics (85A05)

Related Items

Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ On linear adiabatic perturbations of spherically symmetric gaseous stars governed by the Euler-Poisson equations ⋮ The spectrum of adiabatic stellar oscillations ⋮ Linearized analysis of barotropic perturbations around spherically symmetric gaseous stars governed by the Euler–Poisson equations ⋮ Continuum eigenmodes in some linear stellar models ⋮ Quantifying excitations of quasinormal mode systems ⋮ On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations

Cites Work

• A completeness theorem for an integro-differential operator
• On the characterization of the Friedrichs extension of ordinary or elliptic differential operators with a strongly singular potential
• Über die ausgezeichnete Randbedingung in der Spektraltheorie der halbbeschränkten gewöhnlichen Differentialoperatoren zweiter Ordnung
• The asymptotic nature of solutions of linear systems of differential equations
• The spectrum of adiabatic stellar oscillations