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Nonlinear water waves with applications to wave-current interactions and tsunamis

Author: Adrian Constantin
Publisher: Philadelphia : Society for Industrial and Applied Mathematics, ©2011.
Series: CBMS-NSF regional conference series in applied mathematics, 81.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible.  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Adrian Constantin
ISBN: 1611971861 9781611971866
OCLC Number: 740281608
Description: xii, 321 pages : illustrations ; 25 cm.
Contents: Preface --
1. Introduction --
2. Preliminaries --
3. Wave-current interactions --
4. Fluid kinematics for wave trains --
5. Solitary water waves --
6. Breaking waves --
7. Modeling tsunamis --
Bibliography --
Index.
Series Title: CBMS-NSF regional conference series in applied mathematics, 81.
Responsibility: Adrian Constantin.
More information:

Abstract:

This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible. The author discusses the underlying physical factors of such waves and explores the physical relevance of the mathematical results that are presented. The material is an expanded version of the author's lectures delivered at the NSF-CBMS Regional Research Conference in the Mathematical Sciences organized by the Mathematics Department of the University of Texas-Pan American in 2010.

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