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On the differential equations for a transient shock wave. (English) Zbl 0416.76031


MSC:

76L05 Shock waves and blast waves in fluid mechanics
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[1] J. Hadamard, Lecons sur la Propagation des Ondes et les Équations de l’Hydrodynamique, Hermann, Paris (1903). · JFM 34.0793.06
[2] N. E. Kochin, ?On the theory of discontinuities in a fluid,? Collected Works [in Russian], Vol. 2, Izd. Akad. Nauk SSSR, Moscow (1949).
[3] T. Thomas, Plastic Flow and Fracture in Solids, Academic Press, New York-London (1961). · Zbl 0095.38902
[4] J. W. Nunziato and E. K. Walsh, ?Propagation and growth of shock waves in inhomogeneous fluids,? Phys. Fluids,15, No. 8 (1972). · Zbl 0258.76049
[5] P. J. Chen and M. E. Gurtin, ?Growth and decay of one-dimensional shock waves in fluids with internal state variables,? Phys. Fluids,14, No. 6 (1971). · Zbl 0216.53102
[6] V. V. Rusanov, Derivatives of Gasdynamic Functions behind a Curved Shock Wave [in Russian], Moscow (1973) (Preprint No. 18, Inst. Prikl. Mekh. Akad. Nauk SSSR).
[7] F. V. Shugaev, ?Motion of shock waves in a gas with variable parameters,? Zh. Vychisl. Mat. Mat. Fiz.,16, No. 3 (1976).
[8] L. I. Sedov, Methods of Similarity and Dimensionality in Mechanics [in Russian], Nauka, Moscow (1967). · Zbl 0172.51901
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