Stability of Self-Similar Flow - Correct Form of the Basic Equations and of the Shock Boundary Conditions

Details Stability of Self-Similar Flow - Correct Form of the Basic Equations and of the Shock Boundary Conditions Stability of Self-Similar Flow - Correct Form of the Basic Equations and of the Shock Boundary Conditions

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...279..419g&link_type=abstract

Astrophysical Journal, Vol.279, NO.1, P. 419, 1984

Astronomy and Astrophysics

Astrophysics

8

Scientific paper

We present here a refutation of a paper by Bernstein and Book dealing with the perturbation theory and the stability problem of the Primakoff blast waves, which are a degenerate class of self-similar flows characterized by a state of homologous expansion. The main error in Bernstein and Book's treatment consists in their neglect of the entropy perturbations that necessarily arise at the shock front as a result of the Rankine-Hugoniot continuity relations. Their decomposition into normal modes can at most accommodate the discrete part of the spectrum, which in the present case is essentially a continuous spectrum. The radial discrete spectrum that they derive is for the most part made up of spurious modes, devoid of physical meaning.

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