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- W1978355510 abstract "Abstract The head-on interaction, in the one-dimensional, unsteady isentropic flow of a perfect gas, of a simple compression wave and a simple expansion wave is studied by considering typical examples. The physical aspect of the problem is discussed in (1); in this note the possibility of shock formation is ignored, and the correspondence defined by the complete mathematical solution of the equations of isentropic flow between the x , t -plane and the plane of the characteristic variables is elucidated. The solution is distinguished by the appearance of two limit lines and a second-order limit point where they meet. It is found that the image of the characteristic plane in the x , t -plane is four-sheeted; all sheets overlap each other, but each covers only part of the plane, and the only point common to all sheets is the second-order limit point, where both limit lines are cusped (§ 3·1). The solution also contains an edge of regression, and a discussion of the properties of this type of singularity will be found in §§ 2 and 2·1." @default.
- W1978355510 created "2016-06-24" @default.
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- W1978355510 date "1951-07-01" @default.
- W1978355510 modified "2023-09-25" @default.
- W1978355510 title "A note on the correspondence between the x, t-plane and the characteristic plane in a problem of interaction of plane waves of finite amplitude" @default.
- W1978355510 cites W2004279067 @default.
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- W1978355510 doi "https://doi.org/10.1017/s030500410002692x" @default.
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