Mathematical Analysis of Shock Wave Reflection

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.

Produk Detail:

  • Author : Shuxing Chen
  • Publisher : Springer Nature
  • Pages : 251 pages
  • ISBN : 9811577528
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKMathematical Analysis of Shock Wave Reflection

Mathematical Analysis of Shock Wave Reflection

Mathematical Analysis of Shock Wave Reflection
  • Author : Shuxing Chen
  • Publisher : Springer Nature
  • Release : 04 September 2020
GET THIS BOOKMathematical Analysis of Shock Wave Reflection

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

The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures

The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
  • Author : Gui-Qiang G Chen,Mikhail Feldman
  • Publisher : Princeton University Press
  • Release : 27 February 2018
GET THIS BOOKThe Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures

This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development. Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in the form of nonlinear conservation

Shock Wave Reflection Phenomena

Shock Wave Reflection Phenomena
  • Author : Gabi Ben-Dor
  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOKShock Wave Reflection Phenomena

The phenomenon of shock wave reflection was first reported by the distinguished philosopher Ernst Mach in 1878. Its study was then abandoned for a period of about 60 years until its investigation was initiated in the early 1940s by Professor John von Neumann and Professor Bleakney. Under their supervision, 15 years of intensive research related to various aspects of the reflection of shock waves in pseudo-steady flows were carried out. It was during this period that the four basic shock wave reflection configurations

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows
  • Author : V.V. Aristov
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKDirect Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

This book is concerned with the methods of solving the nonlinear Boltz mann equation and of investigating its possibilities for describing some aerodynamic and physical problems. This monograph is a sequel to the book 'Numerical direct solutions of the kinetic Boltzmann equation' (in Russian) which was written with F. G. Tcheremissine and published by the Computing Center of the Russian Academy of Sciences some years ago. The main purposes of these two books are almost similar, namely, the study of

Shock Wave Interactions

Shock Wave Interactions
  • Author : Konstantinos Kontis
  • Publisher : Springer
  • Release : 28 March 2018
GET THIS BOOKShock Wave Interactions

This edited monograph contains the proceedings of the International Shock Interaction Symposium, which emerged as an heir to both the Mach Reflection and Shock Vortex Interaction Symposia. These scientific biannual meetings provide an ideal platform to expose new developments and discuss recent challenges in the field of shock wave interaction phenomena. The goal of the symposia is to offer a forum for international interaction between young and established scientists in the field of shock and blast wave interaction phenomena. The

Introduction to Reactive Gas Dynamics

Introduction to Reactive Gas Dynamics
  • Author : Raymond Brun
  • Publisher : Oxford University Press
  • Release : 26 February 2009
GET THIS BOOKIntroduction to Reactive Gas Dynamics

Many actual technological problems require the knowledge of the physical and chemical phenomena and processes taking place in high energy gas flows. This book presents an introductory analysis, theoretical and experimental, of these media, highlighting both their fundamental characteristics and applied aspects.