We review statistical analyses of Lagrangian data from the ocean. These can be grouped
into studies involving single particles and those with pairs or groups of particles. Single …

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 …

Mixing processes occur in many technological and natural applications, with length and time
scales ranging from the very small to the very large. The diversity of problems can give rise …

Graph theory is now becoming a standard tool in system-level neuroscience. However,
endowing observed brain anatomy and dynamics with a complex network structure does not …

Braiding of topological structures in complex matter fields provides a robust framework for
encoding and processing information, and it has been extensively studied in the context of …

The detection of coherent structures is an important problem in fluid dynamics, particularly in
geophysical applications. For instance, knowledge of how regions of fluid are isolated from …

In many applications, the two-dimensional trajectories of fluid particles are available, but
little is known about the underlying flow. Oceanic floats are a clear example. To extract …

Many industries, such as microelectronics and power electronics, face challenges in
removing large amounts of heat from small areas to prevent overheating. Recent research …

The Kelvin–Helmholtz instability, proposed a long time ago for its role in and impact on the
transport properties at magnetospheric flanks, has been widely investigated in the Earth's …

Stirring of fluid with moving rods is necessary in many practical applications to achieve
homogeneity. These rods are topological obstacles that force stretching of fluid elements …