Abstract
A polytropic gas of adiabatic exponent 5/3 fills the half-space on one side of a rigid plane wall of infinite extent. Initially the gas is at rest and its density is proportional to x 3/2 , where x is the distance from the wall. The gas starts moving towards the wall. It is shown that, although the data are continuous, the problem has no continuous solution, that reflexion at the wall generates a shock wave. The problem is solved completely without recourse to numerical integration.
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Schedule a callMore From: Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
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