Nonlinear Water Waves: Cetraro, Italy 2013

Editors: Constantin, Adrian (Ed.)
Equally interesting for mathematicians (pure and applied), physicists and engineers due to the interdisciplinary nature of the subject
Covers background material as well as aspects that represent the state-of-the-art therefore recommended both for the novice and the expert
The discussions cover a wide range of open problems

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.

Number of Illustrations and Tables
40 b/w illustrations, 8 illustrations in colour
Topics
Mathematical Applications in the Physical Sciences
Partial Differential Equations
Ordinary Differential Equations

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