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Journal of Applied Mechanics and Technical Physics

2017 year, number 6

Solution of the Ovsyannikov Problem of Two-Dimensional Isothermal Motion of a Polytropic Gas

Yu. V. Shan'ko
Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia
Keywords: изотермические движения газа, тепловые движения газа, течения идеальной жидкости со свободной границей, переопределенные системы, точные решения, isothermal gas flow, thermal motion of gas, free-boundary ideal flow, overdetermined systems, exact solutions


The overdetermined system of partial differential equations describing the two-dimensional isothermal motion of a polytropic gas is studied. The system is reduced to passive form and fully integrated. The resulting solutions are treated as ideal incompressible fluid flow bounded by a free surface or a moving solid wall.