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Mathematical Surveys and Monographs
2013; 321 pp; hardcover
List Price: US$98
Member Price: US$78.40
Order Code: SURV/188
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 self-contained 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.
Graduate students and research mathematicians interested in nonlinear PDEs and applications to oceanography.
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