Spectral theory and stability in astrophysics. II - Rotating stars

Details Spectral theory and stability in astrophysics. II - Rotating stars Spectral theory and stability in astrophysics. II - Rotating stars

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.127..309a&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 127, no. 2, Nov. 1986, p. 309-320.

Mathematics

Spectral Theory

1

Linear Operators, Magnetohydrodynamic Stability, Spectral Theory, Stellar Models, Stellar Rotation, Angular Momentum, Eigenvalues

Scientific paper

This paper is a limited review of the applications of the spectral theory of linear operators in an astrophysical context. A major part of the paper is devoted to describing the results obtained by Dyson and Schutz (1979) for differentially rotating perfect fluid stars. The functional-analytic techniques used and the results so obtained are compared with those of Adam (1986). As in the case of ideal magnetohydrodynamics, the mathematical structure of the rotating star problem is very rich indeed. Many questions remain unanswered in both areas.

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