Statistics – Applications
Scientific paper
Jul 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...258..790c&link_type=abstract
Astrophysical Journal, Part 1, vol. 258, July 15, 1982, p. 790-797. Research supported by the University of Virginia
Statistics
Applications
425
Interstellar Matter, Stellar Mass Ejection, Supernova Remnants, Density Distribution, Gas Density, Gas-Gas Interactions, Gas-Solid Interactions, Light Curve, X Ray Spectra
Scientific paper
Properties of self-similar solutions with varying power law exponents describing the interaction of an expanding supernova with the circumstellar medium created by presupernova mass loss are examined. The outflowing material comprises an inner shell of shocked ejecta and an outer shell of shocked ambient gas. Similarity variables are developed for the inner region and boundary conditions are defined for numerical solution. The pressure is assumed to be continuous at the contact discontinuity between the two regions and self-similar solutions yield the thicknesses of the two shells. Applications are made to the cases of Type I and II supernovae, showing that thin shells form initially which are over 300 times the ambient density, but optical emissions occur only when lumps of material are present in the shocked gas before the shock arrives. The self-similar solutions are found to be accurate if the expanding matter has a power-law distribution.
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