Mathematical Theory Of Permanent Progressive Water-waves, The

Hisashi Okamoto (Kyoto Univ, Japan), Mayumi Shoji (Japan Women's Univ, Japan), Mayumi Shoji (Japan Women's University, Japan)

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English

World Scientific Publishing Co Pte Ltd
08 October 2001

Differential calculus & equations; Applied mathematics; Analytical mechanics; Fluid mechanics

Series: Advanced Series in Nonlinear Dynamics

Summary
Details

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 travelling 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 book consists of two parts: numerical experiments and normal form analysis of the bifurcation equations. Prerequisite for reading it is an elementary knowledge of the Euler equations for incompressible inviscid fluid and of bifurcation theory. Readers are also expected to know functional analysis at an elementary level.

By: Hisashi Okamoto (Kyoto Univ Japan), Mayumi Shoji (Japan Women's Univ, Japan), Mayumi Shoji (Japan Women's University, Japan)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 20
Dimensions: Height: 230mm, Width: 156mm, Spine: 18mm
Weight: 458g
ISBN: 9789810244491
ISBN 10: 9810244495
Series: Advanced Series in Nonlinear Dynamics
Pages: 244
Publication Date: 08 October 2001
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active