Description 
1 online resource (298 pages) : illustrations 
Series 
London Mathematical Society Lecture Note Series ; no. 426


London Mathematical Society lecture note series ; no. 426.

Summary 
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 crosssection of those experts was invited to give introductorylevel 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, threedimensionality 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. 
Bibliography 
Includes bibliographical references. 
Contents 
HighOrder Perturbation of Surfaces (HOPS) Short Course  boundary value problems / David P. Nicholls  HOPS Short Course  traveling water waves / Benjamin F. Akers  HighOrder Perturbation of Surfaces (HOPS) Short Course  analyticity theory / David P. Nicholls  HOPS Short Course  stability of travelling water waves / Benjamin F. Akers  A novel nonlocal formulation of water waves / Athanassios S. Fokas and Konstantinos Kalimeris  The dimensionbreaking route to threedimensional solitary gravitycapillary water waves / Mark D. Groves  Validity and nonvalidity 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. 
Local Note 
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection  North America 
Subject 
Wavemotion, Theory of.


Water waves.


TECHNOLOGY & ENGINEERING  Hydraulics. 

Water waves. 

Wavemotion, Theory of. 
Added Author 
Bridges, Thomas J., 1955 editor.


Groves, Mark D., 1968 editor.


Nicholls, David P., editor.

Other Form: 
Print version: Lectures on the theory of water waves. Cambridge, United Kingdom : Cambridge University Press, 2016 9781107565562 (DLC) 2015040740 (OCoLC)921863787 
ISBN 
9781316411155 (electronic bk.) 

131641115X (electronic bk.) 

9781316562840 (electronic bk.) 

1316562840 (electronic bk.) 

9781107565562 (paperback ; alk. paper) 

1107565561 (paperback ; alk. paper) 
