Nonlinear water waves : Cetraro, Italy 2013
著者
書誌事項
Nonlinear water waves : Cetraro, Italy 2013
（Lecture notes in mathematics, 2158 . CIME Foundation subseries）
Springer , Fondazione CIME Roberto Conti, c2016
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注記
Other authors: Joachim Escher, Robin Stanley Johnson, Gabriele Villari
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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