Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984mnras.209..145b&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 209, July 1, 1984, p. 145-157. Research supported by th
Astronomy and Astrophysics
Astrophysics
12
Continuous Spectra, Frequency Ranges, Perturbation Theory, Rotating Fluids, Turbulent Flow, Astrophysics, Cauchy Problem, Differential Equations, Eigenvalues, Euler Equations Of Motion, Laplace Transformation, Polar Coordinates, Rotating Cylinders
Scientific paper
The first known analytic solution for the perturbations of a differentially rotating perfect fluid system is derived. This analytic solution is then used to facilitate a discussion of the continuous spectrum of eigenfrequencies which occurs in such systems. The temporal behaviour represented by the continuum is exhibited, and it is demonstrated how the "eigenfunctions" of the continuum can represent a physical perturbation, even though they are singular in form.
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