Stability of the Primakoff-Sedov blast wave and its generalizations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Detonation Waves, Flow Stability, Shock Waves, Stellar Evolution, Stellar Models, Supernova Remnants, Boundary Value Problems, Eigenvalues, Flow Equations, Hydrodynamics, Interstellar Gas, Linear Equations, Similarity Numbers

Scientific paper

The linear stability of those Sedov blast wave similarity solutions for which the flow is homologous behind the shock, of which the best known example is the Primakoff point blast model, along with that of their two-dimensional counterparts, is proved analytically. This conclusion in the three-dimensional case applies to all perturbations, and in the two-dimensional case to flutelike k(z) = 0) modes. Implications for supernova remnant evolution are discussed.

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