Lectures on the theory of water waves

著者

• Bridges, Thomas J.
• Groves, Mark D.
• Nicholls, David P.

書誌事項

Lectures on the theory of water waves

edited by Thomas J. Bridges, Mark D. Groves, David P. Nicholls

（London Mathematical Society lecture note series, 426）

Cambridge University Press, 2016

• : pbk

注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

• 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 Schroedinger 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 Andre Nachbin
• 11. Variational water wave modelling: from continuum to experiment Onno Bokhove and Anna Kalogirou
• 12. Symmetry, modulation and nonlinear waves Thomas J. Bridges.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB20688421
• ISBN:
  • 9781107565562
• LCCN: 2015040740
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: xiv, 283 p.
• 大きさ: 23 cm
• 分類:
  • LCC : QC174.26.W28
  • DC23 : 532/.593
• 件名:
  • LCSH : Wave-motion, Theory of
  • LCSH : Water waves
• 親書誌ID:
  • BA0005393X