Nonlinear Water Waves
Cetraro, Italy 2013
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Beschreibung
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. Due to the interdisciplinary nature of the subject, the book should be of interest to mathematicians (pure and applied), physicists and engineers.
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. The lectures cover background material as well as aspects that represent the state-of-the-art. We therefore commend this collection of lectures to both the novice and the expert.
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.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
Autor*in
Adrian Constantin
Themen in »Nonlinear Water Waves«
76B15, 35Q35, 34C05 Water waves free boundary nonlinear, particle paths model equations partial differential equations ordinary differential equations