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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.

MSC:
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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