This work reviews the present position of and surveys future perspectives in the physics of
chaotic advection: the field that emerged three decades ago at the intersection of fluid …

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? ows. These methods were originally …

Even though the first theoretical example of chaotic advection was a three-dimensional flow
(Hénon 1966), the number of theoretical studies addressing chaos and mixing in three …

Offers Both Standard and Novel Approaches for the Modeling of SystemsExamines the
Interesting Behavior of Particular Classes of ModelsChaotic Modelling and Simulation …

We study the motion of non-diffusive, passive particles within steady, three-dimensional
vortex breakdown bubbles in a closed cylindrical container with a rotating bottom. The …

We study the Lagrangian kinematics of steady three-dimensional Stokes flow over simple
cubic (SC) and body-centred cubic (BCC) lattices of close-packed spheres, and uncover the …

Problems in engineering, computational science, and the physical and biological sciences
are using increasingly sophisticated mathematical techniques. Thus, the bridge between the …

The classical connection between symmetry breaking and the onset of chaos in dynamical
systems harks back to the seminal theory of Noether [Transp. Theory Statist. Phys. 1, 186 …

We analyze a recently proposed experimental technique for constructing Poincaré maps in
flows exhibiting chaotic advection and develop the theoretical framework that explains the …

Enhanced, passive transport is studied numerically in an oscillating vortex chain with stress-
free boundary conditions. The long-range transport is found to be diffusive in the long-time …