Polynomial dispersion relations.
Abstract
Techniques for the analysis of polynomial dispersion relations are discussed which yield algebraic conditions for the occurrence of instabilities with time scales less than any specified period. Two examples are provided to demonstrate the use of these techniques with the dispersion relation for infinitesimal density and temperature perturbations in an initially uniform steadystate gas and the dispersion relation that describes density perturbations in the linedriven stellar wind of a hot star. Some alternative formulations are also outlined.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 June 1979
 Bibcode:
 1979A&A....75..273G
 Keywords:

 Density Distribution;
 Hot Stars;
 Polynomials;
 Stellar Winds;
 Wave Dispersion;
 Magnetohydrodynamic Stability;
 Perturbation Theory;
 Stellar Temperature;
 Astrophysics;
 Mathematics;
 Computing;
 Data Processing