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A Modern Introduction to the Mathematical Theory of Water Waves

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Overview

The theory of water waves has been a source of intriguing and oftendifficult mathematical problems for at least 150 years. This text briefly discusses fluid mechanics. It then considers the classical problems in linear and non-linear water-wave theory, as well as more modern aspects -- problems that give rise to soliton-type equations. Lastly it examines the effects of viscosity. All the mathematical developments are presented in a straightforward manner. Exercises, further reading, and historical notes make this an ideal text for graduate students.
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Editorial Reviews

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"...reasonably priced, and it is one of the best books available on the subject. With suitable supplements by the instructor, it could serve as a very readable text for an interesting course on the modern theory of water waves." Mathematical Reviews
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Product Details

Table of Contents

Preface
1 Mathematical preliminaries 1
2 Some classical problems in water-wave theory 61
I Linear problems 62
II Nonlinear problems 138
3 Weakly nonlinear dispersive waves 200
4 Slow modulation of dispersive waves 297
5 Epilogue 356
App. A The equations for a viscous fluid 393
App. B The boundary conditions for a viscous fluid 397
App. C Historical notes 399
App. D Answers and hints 405
Bibliography 429
Subject index 437
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