Geodesic
Properties of solutions to the gas dynamics equations on a rotating plane, corresponding to
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 39-45 
M. Turzynsky. Properties of solutions to the gas dynamics equations on a rotating plane, corresponding to. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 39-45. http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a6/
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     title = {Properties of solutions to the gas dynamics equations on a rotating plane, corresponding to},
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We find first integrals for the system of ideal polytropic gas dynamics on a uniformly rotating plane in Lagrangian coordinates, which correspond to the motion with uniform deformation. We show that if the adiabatic exponent $\gamma=2$, then the initial system of four second-order nonlinear ordinary differential equations can be reduced to one first-order equation and its solution can be found as a function of time. The behavior of the solution near equilibria is analyzed.

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