Abstract:
Invariant submodels of rank two of systems of gas-dynamic equations with a general equation of state are described. All submodels (26 representatives) are divided into two, classes–evolutionary and stationary. New relations and independent variables and the coefficients and right sides of the corresponding systems of equations are given.
Citation:
E. V. Mamontov, “Invariant submodels of rank two of the equations of gas dynamics”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999), 50–55; J. Appl. Mech. Tech. Phys., 40:2 (1999), 232–237
\Bibitem{Mam99}
\by E.~V.~Mamontov
\paper Invariant submodels of rank two of the equations of gas dynamics
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 2
\pages 50--55
\mathnet{http://mi.mathnet.ru/pmtf3054}
\elib{https://elibrary.ru/item.asp?id=35308642}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 2
\pages 232--237
\crossref{https://doi.org/10.1007/BF02468519}
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https://www.mathnet.ru/eng/pmtf/v40/i2/p50
This publication is cited in the following 4 articles:
Dilara Siraeva, “Partially invariant solution with an arbitrary surface of blow-up for the gas dynamics equations admitting pressure translation”, International Journal of Non-Linear Mechanics, 2024, 104904
Renata Nikonorova, Dilara Siraeva, Yulia Yulmukhametova, “New Exact Solutions with a Linear Velocity Field for the Gas Dynamics Equations for Two Types of State Equations”, Mathematics, 10:1 (2022), 123
S. V. Khabirov, T. F. Mukminov, “Simple waves of conic motions”, Ufa Math. J., 14:2 (2022), 78–89
Yu. V. Yulmukhametova, “The solution of equations of ideal gas that describes Galileo invariant motion with helical level lines, with the collapse in the helix”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 223:4 (2019), 797–808
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