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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 2, Pages 199–203
(Mi pmtf1093)
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This article is cited in 3 scientific papers (total in 3 papers)
Simple waves of a seven-dimensional subalgebra of all translations in gas dynamics
S. V. Khabirov Mavlyutov Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, 450054, Russia
Abstract:
A differentially invariant solution of rank 1 for gas dynamics equations is considered in a seven-dimensional subalgebra of all translations including Galilean translations. Exact solutions with a uniformly accelerated plane of the level of invariant functions are obtained. A nonisentropic wave depends on two arbitrary functions and constants. A general solution of an isentropic simple wave depends on the constants only.
Keywords:
gas dynamics, subalgebra of translations, simple wave.
Received: 11.12.2013
Citation:
S. V. Khabirov, “Simple waves of a seven-dimensional subalgebra of all translations in gas dynamics”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014), 199–203; J. Appl. Mech. Tech. Phys., 55:2 (2014), 362–366
Linking options:
https://www.mathnet.ru/eng/pmtf1093 https://www.mathnet.ru/eng/pmtf/v55/i2/p199
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Abstract page: | 28 | Full-text PDF : | 11 |
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