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Shock waves in gas dynamics. (English) Zbl 1128.35369
Summary: Shock wave theory was studied in literature by many authors. This article presents a survey with references about various topics related to shock waves: Hyperbolic conservation laws, well-posedness theory, compactness theory, shock and reaction-diffusion wave, The CJ and ZND theory, existence of detonation in Majda’s model, premixed laminar flame, multidimensional gas flows, multidimensional Riemann problem.

35L67 Shocks and singularities for hyperbolic equations
76L05 Shock waves and blast waves in fluid mechanics
35L65 Hyperbolic conservation laws
35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
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