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The Quarterly Journal of Mechanics and Applied Mathematics 1993 46(1):131-140; doi:10.1093/qjmam/46.1.131
© 1993 by Oxford University Press
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ON AN INFINITE SYSTEM OF COMPATIBILITY CONDITIONS ALONG A SHOCK RAY

RENUKA RAVINDRAN and PHOOLAN PRASAD

( Department of Mathematics, Indian Institute of Science Bangalore 560 012, India )

To study the position and strength of a shock discontinuity as it propagates into a medium at rest, an infinite system of compatibility conditions can be derived. Each of these involves derivatives of a single flow variable and is in the form of a transport equation along shock rays. For two-dimensional shock propagation, the first two compatibility conditions are derived in detail.


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