Overview
- Discusses the latest developments in kinematical conservation laws
- Includes numerous interesting applications to propagation of weak nonlinear waves and weak shock waves
- Deals with one of the most challenging problems in fluid dynamics: finding successive positions of a curved shock front
- Addresses useful topics for researchers in physics, mathematics, and engineering
- Is written by a leading expert on KCL theory
Part of the book series: Infosys Science Foundation Series (ISFS)
Part of the book sub series: Infosys Science Foundation Series in Mathematical Sciences (ISFM)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (10 chapters)
Keywords
About this book
The book is organised into ten chapters. Chapters 1–4 offer a summary of and briefly discuss the theory of hyperbolic partial differential equations and conservation laws. Formulation of equations of a weakly nonlinear wavefront and those of a shock front are briefly explained in Chapter 5, while Chapter 6 addresses KCL theory in space of arbitrary dimensions. The remaining chapters examine various analyses and applications of KCL equations ending in the ultimate goal-propagation of a three-dimensional curved shock front and formation, propagation and interaction of kink lines on it.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Propagation of Multidimensional Nonlinear Waves and Kinematical Conservation Laws
Authors: Phoolan Prasad
Series Title: Infosys Science Foundation Series
DOI: https://doi.org/10.1007/978-981-10-7581-0
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2017
Hardcover ISBN: 978-981-10-7580-3Published: 15 March 2018
Softcover ISBN: 978-981-13-3970-7Published: 09 December 2018
eBook ISBN: 978-981-10-7581-0Published: 06 March 2018
Series ISSN: 2363-6149
Series E-ISSN: 2363-6157
Edition Number: 1
Number of Pages: XI, 159
Number of Illustrations: 40 b/w illustrations
Topics: Partial Differential Equations, Mathematical Applications in Computer Science, Ordinary Differential Equations