Lectures on the Theory of Water Waves
eBook - PDF

Lectures on the Theory of Water Waves

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Lectures on the Theory of Water Waves

About this book

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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Yes, you can access Lectures on the Theory of Water Waves by Thomas J. Bridges,Mark D. Groves,David P. Nicholls in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Fluid Mechanics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Series page
  3. Title page
  4. Copyright information
  5. Table of contents
  6. Contributors
  7. Preface
  8. 1 High-Order Perturbation of Surfaces Short Course: Boundary Value Problems
  9. 2 High-Order Perturbation of Surfaces Short Course: Traveling Water Waves
  10. 3 High-Order Perturbation of Surfaces Short Course: Analyticity Theory
  11. 4 High-Order Perturbation of Surfaces Short Course: Stability of Travelling Water Waves
  12. 5 A Novel Non-Local Formulation of Water Waves
  13. 6 The Dimension-Breaking Route to Three-Dimensional Solitary Gravity-Capillary Water Waves
  14. 7 Validity and Non-Validity of the Nonlinear Schrödinger Equation as a Model for Water Waves
  15. 8 Vortex Sheet Formulations and Initial Value Problems: Analysis and Computing
  16. 9 Wellposedness and Singularities of the Water Wave Equations
  17. 10 Conformal Mapping and Complex Topographies[2pt] André Nachbin
  18. 11 Variational Water Wave Modelling: from Continuum to Experiment
  19. 12 Symmetry, Modulation, and Nonlinear Waves