The evolution in the biomedical engineering field boosts innovative technologies, with
microfluidic systems standing out as transformative tools in disease diagnosis, treatment …

Surface reactions such as the adsorption and desorption at boundaries are very common for
solute dispersion in many applications of chemistry, biology, hydraulics, etc. To study how …

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 …

The paper develops a robust and computationally efficient homogenization approach,
grounded on exact local and integral moments, to investigate the temporal evolution of …

We report on a new homogenization approach to solve, with drastically improved speed and
accuracy, the general advection-diffusion equation in hierarchical porous media with …

The paradigmatic model for heterogeneous media used in diffusion studies is built from
reflecting obstacles and surfaces. It is well known that the crowding effect produced by these …

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 …

Simplified one-way coupling approaches are often used to model transport properties of
diluted particle suspensions for predicting the performance of microcapillary hydrodynamic …

Several economics theories emphasize the investors' decision-making. Contemporary fields
of economics have found some contradictory theories compared to opinions based on the …

We study the effect of a fourth-order derivative term in the diffusion of Brownian particles
confined to a narrow 2D channel whose longitudinal coordinate is larger than the …