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Non-similarity solutions for explosion waves in stellar interiors

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Abstract

Non-similarity solutions in closed-forms, for propagation of explosion (instantaneous or non-instantaneous) waves in stellar models, in which the density falls off inversely as a power of distance, has been obtained in this paper. The power indexα lies in the interval 1 <α < 3. The similarity solutions forα = 2 ⋅ 5, valid only for an instantaneous explosion, follows as a particular one. Unlike the case of similarity solutions, the total energy of the wave as well as the strength of the shock varies with time. Besides, the solutions are applicable for arbitrary values of time.

The results are extensions of my previous work (1969).

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Authors and Affiliations

  1. Department of Mathematics, St. Xavier's College, Calcutta, India

    G. Deb Ray

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  1. G. Deb Ray
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Ray, G.D. Non-similarity solutions for explosion waves in stellar interiors. Astrophys Space Sci 232, 209–216 (1995). https://doi.org/10.1007/BF00658295

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  • DOI: https://doi.org/10.1007/BF00658295

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