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C.I.M.E. Foundation Subseries Mathematics of Planet Earth Collection

Nonlinear Water Waves

Cetraro, Italy 2013

Authors: Constantin, A., Escher, J., Johnson, R.S., Villari, G.

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
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eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-31462-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-31461-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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 water waves, to learn more about other areas.

Table of contents (4 chapters)

  • Exact Travelling Periodic Water Waves in Two-Dimensional Irrotational Flows

    Constantin, Adrian

    Pages 1-82

  • Breaking Water Waves

    Escher, Joachim

    Pages 83-119

  • Asymptotic Methods for Weakly Nonlinear and Other Water Waves

    Johnson, Robin Stanley

    Pages 121-196

  • A Survival Kit in Phase Plane Analysis: Some Basic Models and Problems

    Villari, Gabriele

    Pages 197-228

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-31462-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-31461-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Water Waves
Book Subtitle
Cetraro, Italy 2013
Authors
Editors
  • Adrian Constantin
Series Title
C.I.M.E. Foundation Subseries
Series Volume
2158
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-31462-4
DOI
10.1007/978-3-319-31462-4
Softcover ISBN
978-3-319-31461-7
Edition Number
1
Number of Pages
VII, 228
Number of Illustrations
40 b/w illustrations, 8 illustrations in colour
Topics