Interaction of a singular surface with a strong shock in the interstellar gas clouds

Jasobanta Jena; Sheena  Mittal

doi:10.21914/anziamj.v63.15569

Authors

Jasobanta Jena Netaji Subhas Institute of Technology https://orcid.org/0000-0002-0053-5449
Sheena Mittal Netaji Subhas Institute of Technology https://orcid.org/0000-0002-3787-4575

DOI:

https://doi.org/10.21914/anziamj.v63.15569

Keywords:

singular surface theory, strong shock, interstellar gas clouds

Abstract

We investigate the interaction between a singular surface and a strong shock in the self-gravitating interstellar gas clouds with the assumption of spherical symmetry. Using the method of the Lie group of transformations, a particular solution of the flow variables and the cooling–heating function for an infinitely strong shock is obtained. This paper explores an application of the singular surface theory in the evolution of an acceleration wave front propagating through an unperturbed medium. We discuss the formation of an acceleration, considering the cases of compression and expansion waves. The influence of the cooling–heating function on a shock formation is explained. The results of a collision between a strong shock and an acceleration wave are discussed using the Lax evolutionary conditions.

doi:10.1017/S1446181121000328

Author Biographies

Jasobanta Jena, Netaji Subhas Institute of Technology

Professor, Department of Mathematics Dean, Academic (Undergraduate Studies), Department of Mathematics, Netaji Subhas Institute of Technology, Sector-3, Dwarka, New Delhi, India.

Sheena Mittal, Netaji Subhas Institute of Technology

Department of Mathematics, Netaji Subhas Institute of Technology, Sector-3, Dwarka, New Delhi, India.