Other
Scientific paper
Jul 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978mnras.184..211a&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 184, July 1978, p. 211-219.
Other
2
Optical Thickness, Perturbation Theory, Polytropic Processes, Stellar Atmospheres, Acoustic Propagation, Boundary Conditions, Boundary Value Problems, Convective Flow, Eigenvalues, Nonlinearity, Propagation Modes
Scientific paper
The reported investigation has the objective to demonstrate that the linearized approximation, which assumes that perturbations in the steady-state values of the various physical quantities are small compared to the corresponding steady-state values themselves, breaks down when the temperature vanishes at the top boundary. It is shown that for optically thin disturbances in a polytropic atmosphere when the top temperature tends to be zero, the linear theory breaks down for growing convective and acoustic modes. On the other hand for optically thick disturbances the linear theory breaks down for all modes, for all values of four parameters, and for the considered three sets of boundary conditions. For a proper stability analysis it is essential to solve the equations using the nonlinear theory.
Antia H. M.
Chitre S. M.
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