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The Effect of a Magnetic Field on Stellar Pulsations as a Singular Perturbation Problem

Published online by Cambridge University Press:  12 April 2016

M. Goossens  and
D. Biront
M. Goossens
Affiliation:
Astronomisch Instituut Katholieke Universiteit Leuven, Naamsestraat 61 B-3000 Leuven, Belgium
D. Biront
Affiliation:
Astronomisch Instituut Katholieke Universiteit Leuven, Naamsestraat 61 B-3000 Leuven, Belgium

Abstract

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The perturbation problem that describes the effect of a weak magnetic field on stellar adiabatic oscillation is considered. This perturbation problem is singular when the magnetic field does not vanish at the stellar surface, and a regular perturbation scheme fails where the magnetic pressure is comparable to the thermodynamic pressure. The application of the Method of Matched Asymptotic Expansion is used to obtain expressions for the eigenfunctions and the eigenfrequencies.

Type
XII. Effect of Rotation and Magnetic Fields on Pulsation
Information
International Astronomical Union Colloquium , Volume 58: Stellar Hydrodynamics , August 1980 , pp. 661 - 666
Copyright
Copyright © Reidel 1980

References

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