Editors:
- Interdisciplinary approach to research in nonlinear water waves featuring contributions from mathematics, physics and engineering
- Presents a fascinating mixture of material ranging from survey articles to new research results
- Offers an extensive overview of the state of the art of the research field in nonlinear water waves, while also posing a number of interesting and important open questions
- Encourages more research in this area
Part of the book series: Tutorials, Schools, and Workshops in the Mathematical Sciences (TSWMS)
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Table of contents (12 chapters)
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Front Matter
About this book
The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled researchers to make major progress in this field, reflected in the topics featured in this volume.
Cutting-edge techniques and tools from mathematical analysis have generated strong rigorous results concerning the qualitative and quantitative physical properties of solutions of the governing equations. Furthermore, accurate numerical computations of fully-nonlinear steady and unsteady water waves in two and three dimensions have contributed to the discovery of new types of waves. Model equations have been derived in the long-wave and modulational regime using Hamiltonian formulations and solved numerically.
This book brings together interdisciplinary researchers working in the field of nonlinear water waves, whose contributions range from survey articles to new research results which address a variety of aspects in nonlinear water waves. It is motivated by a workshop which was organised at the Erwin Schrödinger International Institute for Mathematics and Physics in Vienna, November 27-December 7, 2017. The key aim of the workshop was to describe, and foster, new approaches to research in this field. This is reflected in the contents of this book, which is aimed to stimulate both experienced researchers and students alike.
Editors and Affiliations
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School of Mathematical Sciences, University College Cork, Cork, Ireland
David Henry
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Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK
Konstantinos Kalimeris
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School of Mathematics, University of East Anglia, Norwich, UK
Emilian I. Părău
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Department of Mathematics, University College London, London, UK
Jean-Marc Vanden-Broeck
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Centre for Mathematical Sciences, Lund University, Lund, Sweden
Erik Wahlén
Bibliographic Information
Book Title: Nonlinear Water Waves
Book Subtitle: An Interdisciplinary Interface
Editors: David Henry, Konstantinos Kalimeris, Emilian I. Părău, Jean-Marc Vanden-Broeck, Erik Wahlén
Series Title: Tutorials, Schools, and Workshops in the Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-030-33536-6
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-33535-9Published: 06 December 2019
Softcover ISBN: 978-3-030-33538-0Published: 06 December 2020
eBook ISBN: 978-3-030-33536-6Published: 27 November 2019
Series ISSN: 2522-0969
Series E-ISSN: 2522-0977
Edition Number: 1
Number of Pages: X, 218
Number of Illustrations: 21 b/w illustrations, 32 illustrations in colour
Topics: Partial Differential Equations