Exact Solution of the Kompaneets Equation for Strong Explosion in Medium with Inverse-Square Decreasing Density
| dc.creator | Kontorovich, V. M. | |
| dc.creator | Pimenov, S. F. | |
| dc.date | 1998-02-11 | |
| dc.date.accessioned | 2026-07-25T13:08:42Z | |
| dc.description | In the framework of the Kompaneets approximation the propagation of a shock front (SF) in inhomogeneous medium with the power-law density decrease at the exponent $n=2$ is investigated. For this important case corresponding to outer regions of the solar and stellar coronas an unexpectedly simple exact solution clearing a structure of the general solution for an arbitrary monotonic density of medium is found. Our results for plane-layered medium are compared to the Korycansky one for off-centre explosion in radially stratified medium. The relation between the solutions in these media are found and a new exact solution for a noncentral explosion in the case of density singularity on the finite radius is received. | |
| dc.description | LaTeX, 18 pages, 3 figures (4 Postscript files) | |
| dc.identifier | https://arxiv.org/abs/astro-ph/9802149 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/9802149 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/14803 | |
| dc.subject | Astrophysics | |
| dc.subject | Fluid Dynamics | |
| dc.title | Exact Solution of the Kompaneets Equation for Strong Explosion in Medium with Inverse-Square Decreasing Density | |
| dc.type | text |