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Solution of the Chaplygin equation in plane-parallel transonic flow with a normal shock
Authors:I. Biibosunov  N. Karybekov
Abstract:In [1], for the case in which the exact Chaplygin equation of motion is replaced by the Tricomi equation, Frankl constructed an example of plane-parallel transonic flow with a normal shock terminating within the flow (later this example was extended by Biibosunov to obtain a curved shock [2]). This flow is an analog of the point vortex flow and has concentric circles as streamlines, and a unique dependence of the velocity vector on the Cartesian coordinates is provided everywhere. In the present paper this example is extended to the case of the Chaplygin equation, and the shock is considered to be normal.The author wishes to thank S. V. Fal'kovich for discussion of the study results and helpful advice.
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