Abstract
In this paper, we consider the problems of the dynamics of plane shock waves in media with one-dimensional longitudinal density stratification. The rationale, features, and limits of applicability of the Whitham method for calculating the wave propagation parameters are discussed. The dependence of the velocity of a plane shock wave on the medium density ahead of its front is obtained for any wave intensity.
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REFERENCES
G. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
ACKNOWLEDGMENTS
The author is grateful to V.V. Markov for discussing this work.
Funding
This work was supported by the Russian Foundation for Basic Research, project nos. 16-29-01092-ofi_m and 18-01-00793-a.
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Translated by A. Ivanov
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Bogdanov, A.N. Dynamics of Shock Waves in Media with Longitudinal Stratification. Dokl. Phys. 65, 83–84 (2020). https://doi.org/10.1134/S1028335820030040
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DOI: https://doi.org/10.1134/S1028335820030040