Nonlinear Water Waves - Cetraro, Italy 2013

This volumebrings together four lecture courses on modern aspects of water waves. Theintention, through the lectures, is to present quite a range of mathematicalideas, primarily to show what is possible and what, currently, is of particularinterest.
Water wavesof large amplitude can only be fully understood in terms of nonlinear effects,linear theory being not adequate for their description. Taking advantage ofinsights from physical observation, experimental evidence and numericalsimulations, classical and modern mathematical approaches can be used to gaininsight into their dynamics. The book presents several avenues and offers awide range of material of current interest.  
Thelectures provide a useful source for those who want to begin to investigate howmathematics 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 familiarwith one branch of the study of waterwaves, to learn more about other areas.

List 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.

Summary

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.

Product details

• Authors: Adria Constantin, Adrian Constantin, Joachi Escher, Joachim Escher, Robin Johnson, Robin Stanley Johnson, Gabriele Villari
• Assisted by: Adria Constantin (Editor), Adrian Constantin (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2016
• EAN: 9783319314617
• ISBN: 978-3-31-931461-7
• No. of pages: 228
• Dimensions: 161 mm x 233 mm x 13 mm
• Weight: 385 g
• Illustrations: VII, 228 p. 48 illus., 8 illus. in color.
• Series: Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries; Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; Analysis, B, Mathematics and Statistics, Applications of Mathematics, Ordinary Differential Equations, Mathematical physics, Partial Differential Equations, Differential calculus & equations, Differential equations, Mathematical Applications in the Physical Sciences