In 2-D time-dependent fluid flows, a patch represents a localized region in space that has a
significantly different average velocity compared to its surroundings. We show that one can …

Lagrangian motion in geophysical fluids may be strongly influenced by coherent structures
that support distinct regimes in a given flow. The problems of identifying and demarcating …

Machine learning (ie, modern data-driven optimization and applied regression) is a rapidly
growing field of research that is having a profound impact across many fields of science and …

Despite a long and rich history of scientific investigation, fluid turbulence remains one of the
most challenging problems in science and engineering. One of the key outstanding …

We describe the application of tools from dynamical systems to define and quantify the
unsteady fluid transport that occurs during fluid–structure interactions and in unsteady …

Transport and mixing processes in fluid flows are crucially influenced by coherent structures
and the characterization of these Lagrangian objects is a topic of intense current research …

We develop a variational principle that extends the notion of a shearless transport barrier
from steady to general unsteady two-dimensional flows and maps defined over a finite time …

Internal gravity wave energy propagates along wave characteristics and is widely believed
to be responsible for intensive mixing in the ocean when internal waves break. Recently …

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 …

Transport and mixing of scalar quantities in fluid flows is ubiquitous in industry and Nature.
While the more familiar turbulent flows promote efficient transport and mixing by their …