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The Propagation Of a Plane Shock Into a Quiet Atmosphere II

Published online by Cambridge University Press:  20 November 2018

M. H. Martin
M. H. Martin*
Affiliation:
Institute for Fluid Dynamics and Applied Mathematics University of Maryland
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1. Introduction. In a previous paper (3) the study of one-dimensional, unsteady flows, isentropic or anisentropic, was reduced to the integration of a Monge-Ampère partial differential equation

(1)

For a polytropic gas, the specific volume

(2) ,

takes the form

,

once the entropy distribution function S = S(Ψ) is specified.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 284 - 288
Copyright
Copyright © Canadian Mathematical Society 1955

References

1. Chandrasekar, S., On the decay of plane shock waves, Aberdeen Proving Ground, BRL Report No. 423 (1943).Google Scholar
2. Friedrichs, K. O., Formation and decay of shock waves, Comm. on Appl. Math., 1 (1948), 211–245.Google Scholar
3. Martin, M. H., The propagation of a plane shock into a quiet atmosphere, Can. J. Math., 5 (1953), 37–39.Google Scholar