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 …

We study diffusion and mixing in different linear fluid dynamics models, mainly related to
incompressible flows. In this setting, mixing is a purely advective effect that causes a transfer …

Chemotaxis plays a crucial role in a variety of processes in biology and ecology. In many
instances, processes involving chemical attraction take place in fluids. One of the most …

We study the mixing and dissipation properties of the advection–diffusion equation with
diffusivity 0< κ ≪ 1 0< κ≪ 1 and advection by a class of random velocity fields on T^ d T d …

We study the problem of the optimal mixing of a passive scalar under the action of an
incompressible flow in two space dimensions. The scalar solves the continuity equation with …

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

We consider the nonlinear optimisation of the mixing of a passive scalar, initially arranged in
two layers, in a two-dimensional plane Poiseuille flow at finite Reynolds and Péclet …

We deduce almost-sure exponentially fast mixing of passive scalars advected by solutions of
the stochastically-forced 2D Navier–Stokes equations and 3D hyper-viscous Navier–Stokes …

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 …

We study anomalous dissipation in hydrodynamic turbulence in the context of passive
scalars. Our main result produces an incompressible C^ ∞ (0, T) * T^ d) ∩ L^ 1 (0, T; C^ 1 …