Nonlinear water waves with applications to wave-current interactions and tsunamis
Title:
Nonlinear water waves with applications to wave-current interactions and tsunamis
Author:
Constantin, Adrian.
ISBN:
9781613444146
9781611971873
9781611971866
Personal Author:
Publication Information:
Philadelphia : Society for Industrial and Applied Mathematics, ©2011.
Physical Description:
1 online resource (xii, 321 pages) : illustrations.
Series:
CBMS-NSF Regional conference series in applied mathematics ; 81
CBMS-NSF regional conference series in applied mathematics ; 81.
Contents:
Preface -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Wave-current interactions -- Chapter 4. Fluid kinematics for wave trains -- Chapter 5. Solitary water waves -- Chapter 6. Breaking waves -- Chapter 7. Modeling tsunamis -- Bibliography -- Index.
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.
Genre:
Electronic Access:
Knovel http://app.knovel.com/web/toc.v/cid:kpNWWAWCI5