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 …

Diffusion-driven flow is a boundary layer flow arising from the interplay of gravity and
diffusion in density-stratified fluids when a gravitational field is non-parallel to an …

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 …

Diffusion-driven flow is a boundary layer flow that results from the combined influence of
gravity and diffusion, which exists in density-stratified fluids whenever a gravitational field is …

We consider a scalar field governed by an advection–diffusion equation (or a more general
evolution equation) with rapidly fluctuating, Gaussian distributed random coefficients. In the …

This dissertation focuses on scalar transport and mixing, stratified fluid and related
numerical problems. In the first part, we aim to answer the question: How does a …

Multiscale metrics such as negative Sobolev norms are effective for quantifying the degree
of mixedness of a passive scalar field advected by an incompressible flow in the absence of …

We consider a scalar field governed by an advection-diffusion equation (or a more general
evolution equation) with rapidly fluctuating, Gaussian distributed random coefficients. In the …