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INTERACTION OF A SINGULAR SURFACE WITH A STRONG SHOCK IN THE INTERSTELLAR GAS CLOUDS

Published online by Cambridge University Press:  23 September 2021

J. JENA Open the ORCID record for J. JENA [Opens in a new window]  and
S. MITTAL Open the ORCID record for S. MITTAL [Opens in a new window]
J. JENA*
Affiliation:
Department of Mathematics, Netaji Subhas Institute of Technology, Sector-3, Dwarka, New Delhi110 078, India; e-mail: [email protected].
S. MITTAL
Affiliation:
Department of Mathematics, Netaji Subhas Institute of Technology, Sector-3, Dwarka, New Delhi110 078, India; e-mail: [email protected].
*
e-mail: [email protected]
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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.

Keywords

singular surface theorystrong shockinterstellar gas clouds
Type
Research Article
Information
The ANZIAM Journal , Volume 63 , Issue 3 , July 2021 , pp. 342 - 358
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Copyright
© Australian Mathematical Society 2021

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