Lectures on the Theory of Water Waves (eBook, PDF)

Redaktion: Bridges, Thomas J.

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 4. Februar 2016
• Englisch
• ISBN-13: 9781316560501
• Artikelnr.: 44757459

Inhaltsangabe

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.