Water Waves

Relating Modern Theory to Advanced Engineering Applications

Autor: M. Rahman

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Editura: Oxford University Press

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The purpose of this book is to present a self contained introduction to the mathematical and physica...

Informații despre carte

Autor

M. Rahman

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

1995

Pagini

356

EAN

9780198534785

ISBN

0198534787

Enbook ID

04527443

Editura

Oxford University Press

Greutate

674

Dimensiuni

214 x 241 x 25

Descriere completă

The purpose of this book is to present a self contained introduction to the mathematical and physical aspects of the theory of water waves. The book is aimed at undergraduate and graduate levels for engineers, physical scientists and mathematicians. Each chapter is concluded with practical problems expressed as exercises and accompanied by ample references for further studies. The book consists of ten chapters arranged into three parts: Part I: Basic Fluid Mechanics and Solutions Techniques which cover chapters 1-3. Part II: Water Waves covering chapters 4-7. Part III Advanced Water Waves which covers chapters 8-10. Parts I and II are elementary in nature; whereas Part III is more advanced. The first three chapters give the derivations of the fundamental mathematical equations. Chapter 2 outlines appropriate differential equations to describe the physical phenomena, and Chapter 3 reviews solution techniques of some simplified partial differential equations. Chapter 4 gives the developmental of wave equations, including the essential boundary conditons and describes small amplitude wave theory. Chapter 5 deals with finite amplitude wave theory and Chapter 6 outlines the study of tidal dynamics in shallow water. For random wave case, the deterministic methods described in previous chapters do not hold good. Therefore, chapter 7 is clearly devoted to wave statistics and wave energy spectrum. The application of wave theory is demonstrated in Chapter 8. Chapter 9 examines the nonlinear long waves in shallow water from a mathematical view point. The book concludes with Chapter 10 which illustrates the inverse scattering technique to solve solitary wave problem.

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Water Waves

Relating Modern Theory to Advanced Engineering Applications

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