Overview
- Focuses on mathematical analysis on various problems of shock reflection and multi-dimensional problems
- Gives good applications of the theory of partial differential equations
- Analyzes Mach reflection and offers a classification from new viewpoint
Part of the book series: Series in Contemporary Mathematics (SCMA, volume 4)
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Table of contents (6 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Mathematical Analysis of Shock Wave Reflection
Authors: Shuxing Chen
Series Title: Series in Contemporary Mathematics
DOI: https://doi.org/10.1007/978-981-15-7752-9
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Shanghai Scientific and Technical Publishers 2020
Hardcover ISBN: 978-981-15-7751-2Published: 05 September 2020
Softcover ISBN: 978-981-15-7754-3Published: 06 September 2021
eBook ISBN: 978-981-15-7752-9Published: 04 September 2020
Series ISSN: 2364-009X
Series E-ISSN: 2364-0103
Edition Number: 1
Number of Pages: XI, 251
Number of Illustrations: 41 b/w illustrations, 1 illustrations in colour
Topics: Partial Differential Equations, Dynamical Systems and Ergodic Theory