Mathematical Modeling Of Explosive Processes In Inhomogeneous Stars

Main Article Content

Temur Chilachava
Nato Kakulia


The work considers a non-self-similar problem about the central explosion of nonhomogeneous gas body (star) bordering vacuum which is in equilibrium in its own gravitational field. To solve the problem, the asymptotic method of thin impact layer has been used. The solution of the problem in the vicinity behind the shock wave (the destruction surface of the first kind) is sought in the form of a singular asymptotic decomposition by a small parameter. Analytically, the main (zero) approximation for the law of motion and the thermodynamic characteristics of the medium has been accurately found. The Cauchy problem for zero approximation of the law of motion of the shock has been solved exactly, in the form of elliptic integrals of the first and second general ones. The relevant asymptotics have been found.

Nonhomogeneous star gravitational field explosion shock wave singular decomposition
Published: Nov 21, 2021

Article Details

How to Cite
Chilachava, T., & Kakulia, N. (2021). Mathematical Modeling Of Explosive Processes In Inhomogeneous Stars. Proceedings of Tskhum-Abkhazian Academy of Sciences, 21, 167–178. Retrieved from
Applied Mathematics
Author Biographies

Temur Chilachava, Sokhumi State University

President of Tskhum-Abkhazian Academy of Sciences

Doctor of Physical and Mathematical Sciences

Sokhumi State University, Professor


Nato Kakulia, Sokhumi State University

Master Student of Sokhumi State University