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＜電子ブック＞
Mathematical Analysis of Shock Wave Reflection / by Shuxing Chen
(Series in Contemporary Mathematics. ISSN:23640103 ; 4)

版	1st ed. 2020.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2020
大きさ	XI, 251 p. 42 illus., 1 illus. in color : online resource
著者標目	*Chen, Shuxing author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Dynamical systems FREE:Differential Equations FREE:Dynamical Systems
一般注記	Introduction -- Shock Polar Analysis -- Perturbation of Regular Shock Reflection -- Stability of Mach Configuration -- Shock Reflection in Unsteady Flow -- Further Considerations and Open Problems -- Appendix This book is aimed to make careful analysis to various mathematical problems derived from shock reflection by using the theory of partial differential equations. The occurrence, propagation and reflection of shock waves are important phenomena in fluid dynamics. Comparing the plenty of studies of physical experiments and numerical simulations on this subject, this book makes main efforts to develop the related theory of mathematical analysis, which is rather incomplete so far. The book first introduces some basic knowledge on the system of compressible flow and shock waves, then presents the concept of shock polar and its properties, particularly the properties of the shock polar for potential flow equation, which are first systematically presented and proved in this book. Mathematical analysis of regular reflection and Mach reflection in steady and unsteady flow are the most essential parts of this book. To give challenges in future research, some long-standing open problems are listed in the end. This book is attractive to researchers in the fields of partial differential equations, system of conservation laws, fluid dynamics, and shock theory. HTTP:URL=https://doi.org/10.1007/978-981-15-7752-9

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