Abstract
Exact solutions can demonstrate possible ways of the behavior of gas dynamics solutions when the density of the medium, being initially in equilibrium, decreases. In the present study a method of solving the wave equation with variable speed of sound is designed within the framework of the acoustic approximation using an expansion in series in terms of the characteristic variable. It is shown that in each step there exists an integral of the equations of motion which makes it possible to express the solution in finite form. The motion is initiated by the impact of a piston which generates a weak accelerated shock wave. The presence of a homogeneous gravity field is taken into account.
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Original Russian Text © A.N. Golubyatnikov, S.D. Kovalevskaya, 2015, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2015, Vol. 50, No. 5, pp. 123–129.
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Golubyatnikov, A.N., Kovalevskaya, S.D. Acceleration of weak shock waves. Fluid Dyn 50, 705–710 (2015). https://doi.org/10.1134/S0015462815050129
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DOI: https://doi.org/10.1134/S0015462815050129