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 definition of climate itself cannot be given without a proper understanding of the key
ideas of long-term behavior of a system, as provided by dynamical systems theory. Hence, it …

Active nematics are out-of-equilibrium fluids composed of rod-like subunits, which can
generate large-scale, self-driven flows. We examine a microtubule-kinesin-based active …

An idea of permeable (suction/injection) chamber is proposed in the current work to control
the secondary vortices appearing in the well-known lid-driven cavity flow by means of the …

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 …

Regions in the phase space of a dynamical system that resist mixing over a finite-time
duration are known as almost-invariant sets (for autonomous dynamics) or coherent sets (for …

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 …

We report on experiments of chaotic mixing in a closed vessel, in which a highly viscous
fluid is stirred by a moving rod. We analyze quantitatively how the concentration field of a …

There are many industrial situations where rods are used to stir a fluid, or where rods
repeatedly knead a material such as bread dough or taffy. The goal in these applications is …