Lagrangian Transport in Geophysical Jets and Waves: The Dynamical Systems Approach

The purpose of this book is to provide an accessible introduction to a new set of methods for the analysis of Lagrangian motion in geophysical flows. These methods were originally developed in the abstract mathem- ical setting of dynamical systems theory, through a geometric approach to differential equations that ultimately owes much to the insights of Poincar´ e (1892). In the 1980s and 1990s, researchers in applied mathematics and—fluid dynamics recognized the potential of this approach ...