Geodesic
On some identities in gas dynamics
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2024), pp. 18-26

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Three identities that govern the macroparameters of an ideal polytropic gas are proven. With their help the equivalence of two different forms of writing the non-stationary Euler system on class of continuously differentiable functions is established. It is shown that any infinitely differentiable solution of a stationary Euler system under some additional conditions is also a solution of stationary Navier-Stokes system and stationary quasi-gas-dynamic system.
Keywords: Euler system, Navier-Stokes system, quasi-gas-dynamic system
Mots-clés : exact solutions. 
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     author = {Yu. V. Sheretov},
     title = {On some identities in gas dynamics},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
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Yu. V. Sheretov. On some identities in gas dynamics. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2024), pp. 18-26. http://geodesic.mathdoc.fr/item/VTPMK_2024_2_a1/