Nonlinear Water Waves: Cetraro, Italy 2013

✍ Scribed by Adrian Constantin, Joachim Escher, Robin Stanley Johnson, Gabriele Villari, Adrian Constantin

• Publisher: Springer International Publishing
• Year: 2016
• Tongue: English
• Leaves: 237
• Series: Lecture notes in mathematics 2158
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This volume brings together four lecture courses on modern aspects of water waves. The intention, through the lectures, is to present quite a range of mathematical ideas, primarily to show what is possible and what, currently, is of particular interest.

Water waves of large amplitude can only be fully understood in terms of nonlinear effects, linear theory being not adequate for their description. Taking advantage of insights from physical observation, experimental evidence and numerical simulations, classical and modern mathematical approaches can be used to gain insight into their dynamics. The book presents several avenues and offers a wide range of material of current interest.  

The lectures provide a useful source for those who want to begin to investigate how mathematics can be used to improve our understanding of water wave phenomena. In addition, some of the material can be used by those who are already familiar with one branch of the study of water waves, to learn more about other areas

✦ Table of Contents

Front Matter....Pages i-vii
Exact Travelling Periodic Water Waves in Two-Dimensional Irrotational Flows....Pages 1-82
Breaking Water Waves....Pages 83-119
Asymptotic Methods for Weakly Nonlinear and Other Water Waves....Pages 121-196
A Survival Kit in Phase Plane Analysis: Some Basic Models and Problems....Pages 197-228
Back Matter....Pages 229-230

✦ Subjects

Ones no lineals;Equacions d'ones no-lineals