Piskareva, M. V.; Shugaev, F. V. On the differential equations for a transient shock wave. (English) Zbl 0416.76031 Fluid Dyn. 12(1977), 799-803 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 1 Document MSC: 76L05 Shock waves and blast waves in fluid mechanics Keywords:differential equations; transient shock wave; heterogeneous medium; geometrical and kinematic conditions of consistency at the wave front; threedimensional; Lagrangian variables; explicit time dependence; jump of the vorticity; shock wave Mach number up to the third order PDFBibTeX XMLCite \textit{M. V. Piskareva} and \textit{F. V. Shugaev}, Fluid Dyn. 12, 799--803 (1978; Zbl 0416.76031) Full Text: DOI References: [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.