TY  - BOOK
AU  - Bridges,Thomas J.
AU  - Groves,Mark D.
AU  - Nicholls,David P.
TI  - Lectures on the theory of water waves
T2  - London Mathematical Society lecture note series
SN  - 9781316411155 (ebook)
AV  - QC174.26.W28 L43 2016
U1  - 532/.593 23
PY  - 2016///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Wave-motion, Theory of
KW  - Water waves
N1  - Title from publisher's bibliographic system (viewed on 05 Feb 2016); High-Order Perturbation of Surfaces (HOPS) Short Course--boundary value problems / David P. Nicholls -- HOPS Short Course--traveling water waves /  Benjamin F. Akers -- High-Order Perturbation of Surfaces (HOPS) Short Course--analyticity theory / David P. Nicholls -- HOPS Short Course--stability of travelling water waves / Benjamin F. Akers -- A novel non-local formulation of water waves / Athanassios S. Fokas and Konstantinos Kalimeris -- The dimension-breaking route to three-dimensional solitary gravity-capillary water waves / Mark D. Groves -- Validity and non-validity of the nonlinear Schrödinger equation as a model for water waves / Guido Schneider -- Vortex sheet formulations and initial value problems: analysis and computing / David M. Ambrose -- Wellposedness and singularities of the water wave equations / Sijue Wu -- Conformal mapping and complex topographies / André Nachbin -- Variational water wave modelling: from continuum to experiment / Onno Bokhove and Anna Kalogirou -- Symmetry, modulation and nonlinear waves / Thomas J. Bridges
N2  - 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
UR  - https://doi.org/10.1017/CBO9781316411155
ER  -