Overview
- 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
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2158)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (4 chapters)
Keywords
About this book
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 waterwaves, to learn more about other areas.Authors, Editors and Affiliations
Bibliographic Information
Book Title: Nonlinear Water Waves
Book Subtitle: Cetraro, Italy 2013
Authors: Adrian Constantin, Joachim Escher, Robin Stanley Johnson, Gabriele Villari
Editors: Adrian Constantin
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-31462-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-31461-7Published: 29 June 2016
eBook ISBN: 978-3-319-31462-4Published: 28 June 2016
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 228
Number of Illustrations: 40 b/w illustrations, 8 illustrations in colour
Topics: Mathematical Applications in the Physical Sciences, Partial Differential Equations, Ordinary Differential Equations