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Mathematical analysis of shock wave ...

Chen, Shuxing.

Mathematical analysis of shock wave reflection

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical analysis of shock wave reflectionby Shuxing Chen.
Author:	Chen, Shuxing.
Published:	Singapore :Springer Singapore :2020.
Description:	xi, 251 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Shock wavesMathematics.
Online resource:	https://doi.org/10.1007/978-981-15-7752-9
ISBN:	9789811577529$q(electronic bk.)

Mathematical analysis of shock wave reflection
Chen, Shuxing.

Mathematical analysis of shock wave reflection[electronic resource] /by Shuxing Chen. - Singapore :Springer Singapore :2020. - xi, 251 p. :ill., digital ;24 cm. - Series in contemporary mathematics,v.42364-009X ;. - Series in contemporary mathematics ;v.1..

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.

ISBN: 9789811577529$q(electronic bk.)

Standard No.: 10.1007/978-981-15-7752-9doiSubjects--Topical Terms:

245441
Shock waves
--Mathematics.

LC Class. No.: QA377 / .C446 2020

Dewey Class. No.: 515.353

Mathematical analysis of shock wave reflection
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505 0 $a Introduction -- Shock Polar Analysis -- Perturbation of Regular Shock Reflection -- Stability of Mach Configuration -- Shock Reflection in Unsteady Flow -- Further Considerations and Open Problems -- Appendix.
520 $a 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.
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