INTERACTION OF A SINGULAR SURFACE WITH A STRONG SHOCK IN THE INTERSTELLAR GAS CLOUDS
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 f...
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| Published in | The ANZIAM journal Vol. 63; no. 3; pp. 342 - 358 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cambridge, UK
Cambridge University Press
01.07.2021
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1446-1811 1446-8735 |
| DOI | 10.1017/S1446181121000328 |
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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. |
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| AbstractList | 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. |
| Author | JENA, J. MITTAL, S. |
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| Cites_doi | 10.1086/148007 10.1086/171986 10.1007/BF01879562 10.1007/978-0-387-68028-6 10.1080/00036817308839058 10.1007/s00033-006-3087-1 10.1103/PhysRevD.52.4380 10.1063/1.5109288 10.1093/mnras/156.4.437 10.1016/0020-7225(94)00086-7 10.1016/j.ijnonlinmec.2019.06.013 10.1093/mnras/146.2.123 10.1093/mnras/144.4.425 10.1080/00036819308840191 10.1016/S0020-7462(98)00035-3 10.1137/0139042 10.1093/mnras/145.4.423 10.1515/zna-2019-0217 10.1016/j.ijnonlinmec.2014.05.013 10.1002/cpa.3160100406 10.1086/154478 10.1093/imamat/1.2.101 10.1093/mnras/140.3.319 10.1093/mnras/142.4.473 10.1016/0020-7225(66)90001-2 10.1007/978-1-4757-4307-4 10.1016/j.wavemoti.2007.09.005 |
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| SubjectTerms | Cooling Elastic waves Fluid mechanics Gases Gravitation Heating Interstellar gas Lie groups Longitudinal waves Mathematical analysis Partial differential equations Propagation Star & galaxy formation Symmetry Variables Wave fronts Wave propagation |
| Title | INTERACTION OF A SINGULAR SURFACE WITH A STRONG SHOCK IN THE INTERSTELLAR GAS CLOUDS |
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