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Surveys in Mathematics and its Applications

ISSN 1842-6298
 Volume 2 (2007), 59 - 89

SHOCK WAVES IN GAS DYNAMICS

Abdolrahman Razani

Abstract. 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.

2000 Mathematics Subject Classification: 35L67, 76L05, 35L65, 35L05.
Keywords: shock wave, conservation law.

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Acknowledgments

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Abdolrahman Razani
Department of Mathematics, Faculty of Science, Imam Khomeini International University,
Postal code: 34149-16818,
Qazvin, Iran.
e-mail: razani@ikiu.ac.ir
http://math.ipm.ac.ir/razani

http://www.utgjiu.ro/math/sma