| Discrete Self-Similarity in Ultra-Relativistic Type-II Strong Explosions (2009) | |||||||||
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.. Comment: 21 pages, 5 figures | |||||||||
Details der Publikation | |||||||||
| |||||||||