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Propagation of Multidimensional Nonlinear Waves and Kinematical Conservation Laws

  • Phoolan Prasad

Part of the Infosys Science Foundation Series book series (ISFS)

Also part of the Infosys Science Foundation Series in Mathematical Sciences book sub series (ISFM)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Phoolan Prasad
    Pages 1-6
  3. Phoolan Prasad
    Pages 7-19
  4. Phoolan Prasad
    Pages 21-33
  5. Phoolan Prasad
    Pages 75-84
  6. Phoolan Prasad
    Pages 93-109
  7. Phoolan Prasad
    Pages 111-126
  8. Phoolan Prasad
    Pages 127-152
  9. Back Matter
    Pages 153-159

About this book

Introduction

This book formulates the kinematical conservation laws (KCL), analyses them and presents their applications to various problems in physics. Finally, it addresses one of the most challenging problems in fluid dynamics: finding successive positions of a curved shock front. The topics discussed are the outcome of collaborative work that was carried out mainly at the Indian Institute of Science, Bengaluru, India. The theory presented in the book is supported by referring to extensive numerical results.

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.

Keywords

Kinematical conservation laws Curved shock propagation Nonlinear hyperbolic waves Hyperbolic partial differential equations Multidimesional waves

Authors and affiliations

  • Phoolan Prasad
    • 1
  1. 1.Department of MathematicsIndian Institute of ScienceBengaluruIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-7581-0
  • Copyright Information Springer Nature Singapore Pte Ltd. 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-7580-3
  • Online ISBN 978-981-10-7581-0
  • Series Print ISSN 2363-6149
  • Series Online ISSN 2363-6157
  • Buy this book on publisher's site