Nonlinear Water Waves: Cetraro, Italy 2013

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Springer International Publishing, Jun 29, 2016 - Mathematics - 228 pages

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.

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About the author (2016)

Adrian Constantin is Professor of Mathematics at the University of Vienna and holds the Chair in Analysis at King's College London. His research interests include partial differential equations and dynamical systems, and he has made several significant contributions to the rigorous theory of water waves. His numerous awards include prizes from the Scuola Normale Superiore di Pisa in Italy, the Royal Swedish Academy of Sciences, the Humboldt Foundation in Germany and the Japan Society of Fluid Mechanics.

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