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astro-ph.SR2026

Eigenfrequency sensitivity in nonadiabatic stellar pulsations

Jan Zalewski

We derive an adjoint formulation of eigenfrequency sensitivity for linear nonadiabatic stellar pulsations, including the frequency dependence of the boundary conditions. Local sens…

astro-ph.SR2026

Power balance and anomalous exchange in post-AGB pulsations

Jan Zalewski

We develop a complex balance relation for stellar pulsations whose real and imaginary parts give paired relations for the excitation rate and oscillation frequency. The formulation…

astro-ph.SR2026

Thermodynamic exchange and mode stability in strongly nonadiabatic radial pulsations

Jan Zalewski

We apply the quadratic balance relation for linear nonadiabatic pulsations to radial modes of a sequence of post-AGB envelope models covering . Th…

astro-ph.SR2026

A generalized quadratic balance relation for nonradial nonadiabatic pulsations

Jan Zalewski

We derive a generalized quadratic balance relation for linear nonadiabatic, nonradial stellar pulsations, starting from a sesquilinear amplitude analogue of the pressure-volume-rat…

astro-ph.SR2026

A quadratic balance relation for radial nonadiabatic pulsations

Jan Zalewski

Using a sesquilinear pressure - rate of volume change kernel and linear pulsation equations, we formulate a balance relation combining work integral, surface terms, norm integral a…

astro-ph.SR2026

On the numerical reliability of nonadiabatic pulsation solutions in AGB envelopes

Jan Zalewski

We re-examine integration methods of linear nonadiabatic radial pulsations in the envelopes of AGB and post-AGB stars using the subspace shooting formulation. In the article the ac…

astro-ph.SR2026

Boundary conditions for radial pulsations in AGB envelopes

Jan Zalewski

We present a formulation of outer and inner boundary conditions for radial non-adiabatic pulsations in AGB/post-AGB envelopes in terms of local structure of pulsation equations. Th…