A modern introduction to the mathematical theory of water waves [EBook] / R.S. Johnson.
A modern introduction to the mathematical theory of water waves [EBook] / R.S. Johnson.
The theory of water waves has been a source of intriguing and often difficult mathematical problems for at least 150 years. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the ope...
Personal Name(s):  Johnson, R. S., (author) 

Imprint: 
Cambridge :
Cambridge University Press,
1997

Physical Description: 
1 online resource (xiv, 445 pages) 
Note: 
englisch 
ISBN: 
9780521591720 9780521598323 9780511624056 
Series Title: 
Cambridge texts in applied mathematics ;
19 
Subject (LOC):  
Full Text 
The theory of water waves has been a source of intriguing and often difficult mathematical problems for at least 150 years. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and nonlinear waterwave theory. This sets the ground for a study of more modern aspects, problems that give rise to solitontype equations. The book closes with an introduction to the effects of viscosity. All the mathematical developments are presented in the most straightforward manner, with worked examples and simple cases carefully explained. Exercises, further reading, and historical notes on some of the important characters in the field round off the book and help to make this an ideal text for a beginning graduate course on water waves. 