Abstract
A new method is considered for constructing the dynamics of motion of a shock front moving with speed close to that of sound in a nonviscous, isentropic gas. The algorithm for constructing the solution reduces to the problem of successively solving systems of ordinary differential equations which provides considerable economy as compared with the known method of difference schemes for computer calculations.
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Literature cited
V. I. Arnol'd, Ordinary Differential Equations [in Russian], Nauka, Moscow (1973).
I. M. Gelfand and G. E. Shilov, Generalized Functions — Properties and Operations, Academic Press (1969).
V. P. Maslov, Operator Methods [in Russian], Nauka, Moscow (1973).
L. I. Sedov, Mechanics of Continuous Media [in Russian], Vols. I, II, Nauka, Moscow (1973).
Additional information
Translated from Itogi Nauki i Tekhniki, Sovremennye Problemy Matematiki, Vol. 8, pp. 199–271, 1977.
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Maslov, V.P. Propagation of shock waves in an isentropic, nonviscous gas. J Math Sci 13, 119–163 (1980). https://doi.org/10.1007/BF01084111
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DOI: https://doi.org/10.1007/BF01084111