Mathematical Analysis of Shock Wave Reflection

Shuxing Chen (Autor)

Buch | Softcover

251 Seiten

2021 | 1st ed. 2020
Springer Verlag, Singapore
978-981-15-7754-3 (ISBN)

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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.

Shuxing Chen, is a Full Professor of Fudan University since 1984. He has been Academician of Chinese Academy of Sciences since 2013. He was awarded National Natural Science Award twice in 1982 and 2005. His main research field is theory and applications of partial differential equations.

Introduction.- Shock Polar Analysis.- Perturbation of Regular Shock Reflection.- Stability of Mach Configuration.- Shock Reflection in Unsteady Flow.- Further Considerations and Open Problems.- Appendix.

Erscheinungsdatum	13.09.2021
Reihe/Serie	Series in Contemporary Mathematics ; 4
Zusatzinfo	1 Illustrations, color; 41 Illustrations, black and white; XI, 251 p. 42 illus., 1 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Original-Titel	Ji Bo Fan She De Shu Xue Fen Xi
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	conservation laws • Euler System • Mach Configuration • Nonlinear hyperbolic equations • Partial differential equations • Reflection of Shocks
ISBN-10	981-15-7754-4 / 9811577544
ISBN-13	978-981-15-7754-3 / 9789811577543
Zustand	Neuware