Lectures on the Theory of Water Waves

Preface Thomas J. Bridges, Mark D. Groves and David P. Nicholls
1. High-Order Perturbation of Surfaces (HOPS) Short Course – boundary value problems David P. Nicholls
2. HOPS Short Course – traveling water waves Benjamin F. Akers
3. High-Order Perturbation of Surfaces (HOPS) Short Course – analyticity theory David P. Nicholls
4. HOPS Short Course – stability of travelling water waves Benjamin F. Akers
5. A novel non-local formulation of water waves Athanassios S. Fokas and Konstantinos Kalimeris
6. The dimension-breaking route to three-dimensional solitary gravity-capillary water waves Mark D. Groves
7. Validity and non-validity of the nonlinear Schrödinger equation as a model for water waves Guido Schneider
8. Vortex sheet formulations and initial value problems: analysis and computing David M. Ambrose
9. Wellposedness and singularities of the water wave equations Sijue Wu
10. Conformal mapping and complex topographies André Nachbin
11. Variational water wave modelling: from continuum to experiment Onno Bokhove and Anna Kalogirou
12. Symmetry, modulation and nonlinear waves Thomas J. Bridges.