Authors:
- 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)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
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
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Department of Mathematics, Indian Institute of Science, Bengaluru, India
Phoolan Prasad
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