Abstract
An exact solution of MHD equations with plane waves describing the solid-body motion of an ideally conducting gas in a given uniform gravitational field is derived. The motion is due to a piston producing a shock wave propagating throughout the initial equilibrium state with a decreasing density. The solution involves an arbitrary function of the Lagrangian variable, whose choice influences the flow pattern.
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Original Russian Text © A.N. Golubyatnikov, S.D. Kovalevskaya, 2014, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2014, Vol. 49, No. 6, pp. 164–168.
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Golubyatnikov, A.N., Kovalevskaya, S.D. Shock wave acceleration in a magnetic field. Fluid Dyn 49, 844–848 (2014). https://doi.org/10.1134/S0015462814060155
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DOI: https://doi.org/10.1134/S0015462814060155