The overflow of density singularity by shock generated by strong explosion

1Shelyag, SI
1Institute of Radio Astronomy of the National Academy of Science of Ukraine, Kharkiv, Ukraine
Kosm. nauka tehnol. 2001, 7 ;(Suppl. 2):101-104
https://doi.org/10.15407/knit2001.02s.101
Publication Language: English
Abstract: 
Cosmological nature of the GAMMA-Ray Bursts means that energy discharged from the GRB is greater than energy emitted from supernova explosion, and is enough to make shock reach neighbouring stars or gas clouds and remain strong. It implies the possibility of using the Kompaneets strong explosion approximation for analysis of «hypernovae» remnants shapes, which may correspond to the Gamma-Ray Bursts. Forms of the shock generated by a strong explosion in a medium with quadratic law of density decrease and coming to constant on big distances are analysed. The overflow of density singularity is observed. Obtained results are compared with observational data about hypernova explosions.
References: 
1. Energetic evidence for Hypernovae. Sky and Telescope, July, 25—27 (1999).
2. Binovaty-Kogan G. S., Silich S. A. Shock wave propagation in the nonuniform interstellar medium. Rev. Mod. Phys., 67 (3), 661—712 (1995).
https://doi.org/10.1103/RevModPhys.67.661
3. Kompaneets A. S. Point explosion in nonuniform atmosphere. Dokl. AN SSSR, 130 (5), 1001 — 1003 (1960) [in Russian].
4. Kontorovich V. M., Pimenov S. F. Exact solution of Kompaneets equation for a strong point explosion in a medium with quadratic density decrease. Izv. VUZov RADIOFIZIKA, 41 (6), 683—698 (1998) [in Russian].
5. Kontorovich V. M., Pimenov S. F. Investigation of shock wave in an inhomogeneous solar atmosphere. Solar Physics, 172, 93—101 (1997).
https://doi.org/10.1023/A:1004997513672
6. Korykansky D. G. An off-center point explosion in a radially stratified medium: Kompaneets approximation. Astrophys. J., 398, 184—189 (1992).
https://doi.org/10.1086/171847
7. Paczynski B. Gamma-Ray Burst — Supernova Relation, astro-ph/9909048.
8. Silich S. A., Fomin P. I. Point explosion in exponential atmosphere with nonzero asymptote. Dokl. AN SSSR, 268 (4) 861—864 (1983) [in Russian].

9. Wang Q. D. Detection of X-ray emitting hypernova remnants in M101. Astrophys. J., 517, L27—L30 (1999).
https://doi.org/10.1086/312020