
Supplementary Material 
Mathematical Surveys and Monographs 2005; 234 pp; hardcover Volume: 119 ISBN10: 0821836935 ISBN13: 9780821836934 List Price: US$80 Member Price: US$64 Order Code: SURV/119 See also: Nonlinear Dispersive Equations: Existence and Stability of Solitary and Periodic Travelling Wave Solutions  Jaime Angulo Pava  This monograph presents a geometric theory for incompressible flow and its applications to fluid dynamics. The main objective is to study the stability and transitions of the structure of incompressible flows and its applications to fluid dynamics and geophysical fluid dynamics. The development of the theory and its applications goes well beyond its original motivation of the study of oceanic dynamics. The authors present a substantial advance in the use of geometric and topological methods to analyze and classify incompressible fluid flows. The approach introduces genuinely innovative ideas to the study of the partial differential equations of fluid dynamics. One particularly useful development is a rigorous theory for boundary layer separation of incompressible fluids. The study of incompressible flows has two major interconnected parts. The first is the development of a global geometric theory of divergencefree fields on general twodimensional compact manifolds. The second is the study of the structure of velocity fields for twodimensional incompressible fluid flows governed by the NavierStokes equations or the Euler equations. Motivated by the study of problems in geophysical fluid dynamics, the program of research in this book seeks to develop a new mathematical theory, maintaining close links to physics along the way. In return, the theory is applied to physical problems, with more problems yet to be explored. The material is suitable for researchers and advanced graduate students interested in nonlinear PDEs and fluid dynamics. Readership Advanced graduate students and research mathematicians interested in nonlinear PDEs and fluid dynamics. Table of Contents



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