Written by a specialist in geophysical fluid dynamics and an applied
mathematician, this is the first accessible introduction to a new set of
methods for analysing Lagrangian motion in geophysical flows. Early
chapters establish context and fundamental mathematical concepts and
definitions, explore simple cases of steady flow, and touch on important
topics from the classical theory of Hamiltonian systems. The main body
of the book examines elements and methods of Lagrangian transport
analysis in time-dependent flows. A concluding chapter surveys research
in geophysical fluid dynamics that makes use of this new approach.
Supplementary material is provided in the appendices. The book will
appeal to graduate students, research scientists, and educators in any
branch of geophysical science in which the motion and transport of
fluid, and of materials carried by the fluid, is of interest. It will
also interest applied mathematicians seeking an introduction to this
area of geophysical fluid dynamics.