Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.336..195s&link_type=abstract
Astrophysics and Space Science, Volume 336, Issue 1, pp.195-200
Astronomy and Astrophysics
Astrophysics
Supernova-Remnants, Spherical Shocks, Dense Shell, Stability Analysis
Scientific paper
In this paper, we study self-similar solutions, and their linear stability as well, describing the flow within a spherical shell with finite thickness, expanding according to a power law of time, t q , where q>0. The shell propagates in a medium with initially uniform density and it is bounded by a strong shock wave at its outer border while the inner face is submitted to a time-dependent uniform pressure. For q=2/5, the well-known Sedov-Taylor solution is recovered. In addition, although both accelerated and decelerated shells can be unstable against dynamic perturbations, they exhibit highly different behaviors. Finally, the dispersion relation derived earlier by Vishniac (Vishniac, E.T. in Astrophys. J. 274:152, 1983) for an infinitely thin shell is obtained in the limit of an isothermal shock wave.
Bouquet Serge
Murakami Masaaki
Sanz Javier
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