Stability of self-similar flow - The Primakoff solutions

Details Stability of self-similar flow - The Primakoff solutions Stability of self-similar flow - The Primakoff solutions

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...135...94g&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 135, no. 1, June 1984, p. 94-100.

Astronomy and Astrophysics

Astrophysics

6

Astrophysics, Flow Stability, Oscillating Flow, Radial Flow, Shock Wave Propagation, Entropy, Perturbation Theory, Similarity Theorem, Spectrum Analysis

Scientific paper

The radial normal modes of the Primakoff solutions are determined by two methods. A set of linearized equations are obtained that include perturbation terms, i.e., nonhomogeneous variables arising from shock-generated entropy perturbations. The shock displacement is quantified, as are perturbations in the sphere of influence of the shock. The radial models found by Bernstein and Book (1980) are shown to be nonphysical. It is found that a WKB method is a valid technique for generating exact results, and that the Primakoff background is infinite in the direction of the center. Finally, a stability region is defined for a continuous spectrum.

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