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 …

Many microfluidic systems—including chemical reaction, sample analysis, separation,
chemotaxis, and drug development and injection—require control and precision of solute …

In multispecies electrolyte solutions, even in the absence of an external electric field,
differences in ion diffusivities induce an electric potential and generate additional fluxes for …

We study the long-time behavior of an advection-diffusion equation with a general time-
varying (including random) shear flow imposing no-flux boundary conditions on channel …

We develop a theory of enhanced diffusivity and skewness of the longitudinal distribution of
a diffusing tracer advected by a periodic time-varying shear flow in a straight channel …

Predicting the evolution of concentration distribution of environmental transport in wetland
flows has a broad range of applications in ecological engineering practice. By extending a …

In fishes, swimming performance is considered an important metric to measure fitness,
dispersal and migratory abilities. The swimming performance of individual larval fishes is …

Non-circular-cross-section tubes are widely used as heat exchange components throughout
the industry, including in fields such as aerospace, automobiles, and vessels. Tube …

Background Atherosclerosis is a complex inflammatory vascular disease characterized by
lipid and immune cells accumulation in the vessel wall, leading to lumen narrowing …

We consider the evolution of a decaying passive scalar in the presence of a Gaussian white
noise fluctuating linear shear flow known as the Majda Model. We focus on deterministic …