Mixing is relevant to many areas of science and engineering, including the pharmaceutical
and food industries, oceanography, atmospheric sciences and civil engineering. In all these …

Internally heated convection involves the transfer of heat by fluid motion between a
distribution of sources and sinks. Focusing on the balanced case where the total heat added …

We address the challenge of optimal incompressible stirring to mix an initially
inhomogeneous distribution of passive tracers. As a quantitative measure of mixing we …

We construct universal mixers, incompressible flows that mix arbitrarily well general
solutions to the corresponding transport equation, in all dimensions. This mixing is …

Mixing and un-mixing by incompressible flows Page 1 DOI 10.4171/JEMS/709 J. Eur. Math.
Soc. 19, 1911–1948 c European Mathematical Society 2017 Yao Yao · Andrej Zlatoš Mixing …

Consider a diffusion-free passive scalar θ being mixed by an incompressible flow u on the
torus ${\mathbb T}^ d $. Our aim is to study how well this scalar can be mixed under an …

Cells swimming in viscous fluids create flow fields which influence the transport of relevant
nutrients, and therefore their feeding rate. We propose a modeling approach to the problem …

This review paper is concerned with the stability analysis of the continuity equation in the
DiPerna–Lions setting in which the advecting velocity field is Sobolev regular. Quantitative …

The calculus of variations is employed to find steady divergence-free velocity fields that
maximize transport of a tracer between two parallel walls held at fixed concentration for one …

We consider a model for mixing binary viscous fluids under an incompressible flow. We
prove the impossibility of perfect mixing in finite time for flows with finite viscous dissipation …