Advanced Series in Nonlinear Dynamics: The Mathematical Theory of Permanent Progressive Water-Waves (PDF)
(Sprache: Englisch)
This book is a self-contained introduction to the theory of periodic, progressive, permanent waves on the surface of incompressible inviscid fluid. The problem of permanent water-waves has attracted a large number of physicists and mathematicians since...
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This book is a self-contained introduction to the theory of periodic, progressive, permanent waves on the surface of incompressible inviscid fluid. The problem of permanent water-waves has attracted a large number of physicists and mathematicians since Stokes' pioneering papers appeared in 1847 and 1880. Among many aspects of the problem, the authors focus on periodic progressive waves, which mean waves traveling at a constant speed with no change of shape. As a consequence, everything about standing waves are excluded and solitary waves are studied only partly. However, even for this restricted problem, quite a number of papers and books, in physics and mathematics, have appeared and more will continue to appear, showing the richness of the subject. In fact, there remain many open questions to be answered.The present book consists of two parts: numerical experiments and normal form analysis of the bifurcation equations. Prerequisite for reading it is an elementary...
Bibliographische Angaben
- Autoren: Hisashi Okamoto , Mayumi Shõji
- 2001, Englisch
- ISBN-10: 9812810447
- ISBN-13: 9789812810441
- Erscheinungsdatum: 28.09.2001
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- Größe: 7.39 MB
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Sprache:
Englisch
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