Advection-diffusion in chaotic flows

The aim of these notes is to provide an overview of the different approaches used to address the advection-diffusion equation, viewed as the mathematical setting for studying mixing in laminar incompressible flows. In its beginnings1, i. e. starting from the paper by (1984), the field of laminar mixing was essentially a new playground for physicists, fluid dynamicists and engineers, where the tools of dynamical system theory could be applied