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The Propagation of a Plane Shock intoa Quiet Atmosphere

Published online by Cambridge University Press:  20 November 2018

M. H. Martin
M. H. Martin*
Affiliation:
Institute for Fluid Dynamics and Applied Mathematics College Park, Maryland
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In this note the problem of determining the propagation of a plane shock moving through a polytropic gas into an undisturbed body of the gas, leaving a non-isentropic disturbance behind it, is reduced to the solution of the problem of Cauchy for a Monge-Ampére partial differential equation of special type. The application of this result to specific examples is being studied with a view to later publication.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 37 - 39
Copyright
Copyright © Canadian Mathematical Society 1953

References

1. Courant, R. and Friedrichs, K. O., Supersonic flow and shock waves (New York, 1948).Google Scholar
2. Martin, M. H., A new approach to problems in two dimensional flow, Quart. Appl. Math., 8 (1950).Google Scholar
3. Riemann, B. and Weber, H., Die partiellen Differentialgleichungen der mathematischen Physik, vol. 2, sixth ed. (Braunschweig, 1919).Google Scholar