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arXiv · 0910.3552

Discrete Self-Similarity in Ultra-Relativistic Type-II Strong Explosions

Yonatan Oren·Re'em Sari
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Abstract

A solution to the ultra-relativistic strong explosion problem with a non-power law density gradient is delineated. We consider a blast wave expanding into a density profile falling off as a steep radial power-law with small, spherically symmetric, and log-periodic density perturbations. We find discretely self-similar solutions to the perturbation equations and compare them to numerical simulations. These results are then generalized to encompass small spherically symmetric perturbations with arbitrary profiles.

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Yonatan Oren, Re'em Sari. 2009-10-19. Discrete Self-Similarity in Ultra-Relativistic Type-II Strong Explosions. https://doi.org/10.1063/1.3231838

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