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 …

Chemical and biological reactions at fluid-solid interfaces are central to a broad range of
porous material applications and research. Pore-scale solute transport limitations can …

Mixing at macroscopic scales is very common in various industrial applications. Industrial
processes can bring into play highly viscous or shear-sensitive fluids, and the mixing …

This work develops an efficient and accurate optimization algorithm to study the optimal
mixing problem driven by boundary control of unsteady Stokes flows, based on the …

The probability density function (pdf) of solute concentration is a useful tool for modeling
transport of contaminants in heterogeneous aquifers that is increasingly used in risk …

We discuss the problem of optimal mixing of an inhomogeneous distribution of a scalar field
θ via an active control of the flow velocity v, governed by the incompressible Navier--Stokes …

Mixing in viscous fluids is challenging, but chaotic advection in principle allows efficient
mixing. In the best possible scenario, the decay rate of the concentration profile of a passive …

We consider an unconstrained tangential Dirichlet boundary control problem for the Stokes
equations with an L 2 penalty on the boundary control. The contribution of this paper is …

Rotationally reciprocating mixing, in which a plate impeller slowly rotates back and forth for
only half a rotation, shows excellent fluid mixing performance at Re> 40. On the other hand …

We discuss the optimal boundary control problem for mixing an inhomogeneous distribution
of a passive scalar field in an unsteady Stokes flow. The problem is motivated by mixing the …