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In the summer of 2014 leading experts in the theory of water waves
gathered at the Newton Institute for Mathematical Sciences in
Cambridge for four weeks of research interaction. A cross-section
of those experts was invited to give introductory-level talks on
active topics. This book is a compilation of those talks and
illustrates the diversity, intensity, and progress of current
research in this area. The key themes that emerge are numerical
methods for analysis, stability and simulation of water waves,
transform methods, rigorous analysis of model equations,
three-dimensionality of water waves, variational principles,
shallow water hydrodynamics, the role of deterministic and random
bottom topography, and modulation equations. This book is an ideal
introduction for PhD students and researchers looking for a
research project. It may also be used as a supplementary text for
advanced courses in mathematics or fluid dynamics.
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