In this work we study the long time inviscid limit of the two dimensional Navier–Stokes
equations near the periodic Couette flow. In particular, we confirm at the nonlinear level the …

We study the diffusion of particles confined close to a single wall and in double-wall planar
channel geometries where the local diffusivities depend on the distance to the boundaries …

We study the convergence of statistical estimators used in the estimation of large-deviation
functions describing the fluctuations of equilibrium, nonequilibrium, and manmade …

The dispersive spreading of microscopic particles in shear flows is influenced both by
advection and thermal motion. At the nanoscale, interactions between such particles and …

Ocean acidification (OA), driven by rising anthropogenic carbon dioxide (CO 2), is rapidly
advancing in the Pacific Arctic Region (PAR), producing conditions newly corrosive to …

The scalar dynamics within a unit-aspect-ratio street canyon are studied using large-eddy
simulation. The key processes of ventilation and mixing are analysed with the canyon …

The effective diffusivity D e of tracer particles diffusing in periodically corrugated
axisymmetric two-and three-dimensional channels is studied. The majority of the previous …

We establish a link between the phenomenon of Taylor dispersion and the theory of
empirical distributions. Using this connection, we derive, upon applying the theory of large …

Except in the trivial case of spatially uniform flow, the advection–diffusion operator of a
passive scalar tracer is linear and non-self-adjoint. In this study, we exploit the linearity of the …

Countless environmental, industrial and biological applications involve fluids flowing
through complex media or heterogeneous environments. These can be soil, sand and rocks …