Nonlinear Water Waves: Cetraro, Italy 2013 by Adrian ConstantinNonlinear Water Waves: Cetraro, Italy 2013 by Adrian Constantin

Nonlinear Water Waves: Cetraro, Italy 2013

byAdrian Constantin, Joachim Escher, Robin Stanley Johnson

Paperback | June 29, 2016

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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.
Title:Nonlinear Water Waves: Cetraro, Italy 2013Format:PaperbackDimensions:228 pagesPublished:June 29, 2016Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319314610

ISBN - 13:9783319314617


Table of Contents

Adrian Constantin: Exact travelling periodic water waves in two-dimensional irrotational flows.- Joachim Escher: Breaking Water Waves.- Robin Stanley Johnson: Asymptotic methods for weakly nonlinear and other water waves.- Gabriele Villari: A survival kit in phase plane analysis: some basic models and problems.