Discrete self-similarity in ultrarelativistic type-II strong explosions

Yonatan Oren*, Re'em Sari

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageAmerican English
Article number106102
JournalPhysics of Fluids
Issue number10
StatePublished - 2009

Bibliographical note

Funding Information:
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.


Dive into the research topics of 'Discrete self-similarity in ultrarelativistic type-II strong explosions'. Together they form a unique fingerprint.

Cite this