
Preface  Preview Material  Table of Contents  Index  Supplementary Material 
Mathematical Surveys and Monographs 2013; 321 pp; hardcover Volume: 188 ISBN10: 0821894706 ISBN13: 9780821894705 List Price: US$98 Member Price: US$78.40 Order Code: SURV/188 See also: Introduction to PDEs and Waves for the Atmosphere and Ocean  Andrew Majda An Introduction to Theoretical Fluid Mechanics  Stephen Childress Nonlinear Dispersive Equations: Existence and Stability of Solitary and Periodic Travelling Wave Solutions  Jaime Angulo Pava  This monograph provides a comprehensive and selfcontained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models. Which model provides the best description of waves such as tsunamis or tidal waves? How can water waves equations be transformed into simpler asymptotic models for applications in, for example, coastal oceanography? This book proposes a simple and robust framework for studying these questions. The book should be of interest to graduate students and researchers looking for an introduction to water waves equations or for simple asymptotic models to describe the propagation of waves. Researchers working on the mathematical analysis of nonlinear dispersive equations may also find inspiration in the many (and sometimes new) models derived here, as well as precise information on their physical relevance. Readership Graduate students and research mathematicians interested in nonlinear PDEs and applications to oceanography. 


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