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Published October 12, 2009 | Published
Journal Article Open

Discrete self-similarity in ultrarelativistic type-II strong explosions

Abstract

A solution to the ultrarelativistic strong explosion problem with a nonpower 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

Additional Information

© 2009 American Institute of Physics. Received 4 June 2009; accepted 13 August 2009; published 12 October 2009. The authors wish to thank Professor Tsvi Piran for fruitful discussions. This research was partially supported by a NASA grant, IRG grant, and a Packard Fellowship.

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