Mathematical Analysis of Shock Wave Reflection / by Shuxing Chen

By:

Chen, Shuxing [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Series in Contemporary Mathematics ; 4Publisher: Singapore : Springer Singapore, 2020Publisher: Singapore : Imprint: Springer, 2020Edition: 1st ed. 2020Description: 1 Online-Ressource(XI, 251 p. 42 illus., 1 illus. in color.)ISBN:

9789811577529

Subject(s):

Additional physical formats: 9789811577512 | 9789811577536 | 9789811577543 | Erscheint auch als: 9789811577512 Druck-Ausgabe | Erscheint auch als: 9789811577536 Druck-Ausgabe | Erscheint auch als: 9789811577543 Druck-AusgabeDOI: DOI: 10.1007/978-981-15-7752-9Online resources:

Summary: Introduction -- Shock Polar Analysis -- Perturbation of Regular Shock Reflection -- Stability of Mach Configuration -- Shock Reflection in Unsteady Flow -- Further Considerations and Open Problems -- Appendix.Summary: 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. .PPN: PPN: 173463037XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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