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 …

To characterize transport in a deterministic dynamical system is to compute exit time
distributions from regions or transition time distributions between regions in phase space …

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 …

Mixing fronts, where fluids of different chemical compositions mix with each other, are known
to represent hotspots of chemical reaction in hydrological systems. These fronts are typically …

Saltwater taffy, an American confection consisting of the main ingredients sugar, corn syrup,
water, and oil, is known for its chewy texture and diverse flavors. We use a small amplitude …

Mixing of binary fluids by moving stirrers is a commonplace process in many industrial
applications, where even modest improvements in mixing efficiency could translate into …

Although steady, isotropic Darcy flows are inherently laminar and nonmixing in the absence
of diffusion, it is well understood that transient forcing via engineered pum** schemes can …

Active nematics are an important new paradigm in soft condensed matter systems. They
consist of rodlike components with an internal driving force pushing them out of equilibrium …

We present a set-oriented graph-based computational framework for continuous-time
optimal transport over nonlinear dynamical systems. We recover provably optimal control …

Braidlab is a Matlab package for analyzing data using braids. It was designed to be fast, so it
can be used on relatively large problems. It uses the object-oriented features of Matlab to …