Non-similarity solutions for explosion waves in stellar interiors. (English) Zbl 0843.76049
Summary: 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. The power index \(\alpha\) lies in the interval \(1< \alpha < 3\). The similarity solutions for \(\alpha=2.5\), 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.
MSC:
| 76L05 | Shock waves and blast waves in fluid mechanics |
| 85A30 | Hydrodynamic and hydromagnetic problems in astronomy and astrophysics |
References:
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