Abstract The movements of species in a river are driven by random diffusion, unidirectional water flow, and cognitive judgement with spatial memory. In this paper, we formulate reaction–diffusion–advection model memory-based diffusion homogeneous Dirichlet boundary conditions. existence nonconstant positive steady state is proven. We obtain the linear stability analysing eigenvalues associated ...

We develop surface-modified 100 nm silica nanofluidic channels that change in measured conductivity upon exposure to single- or double-stranded DNA. Through careful monitoring of both electromigrative and advective current in the channel, we can detect nanomolar concentrations of DNA. These results can be exploited for inexpensive, all-electronic DNA sensors.

We revisit the vertical structure of black hole accretion disks in spherical coordinates. By comparing the advective cooling with the viscous heating, we show that advection-dominated disks are geometrically thick, i.e., with the half-opening angle ∆θ > 2π/5, rather than slim as supposed previously in the literature.

Today, many global spectral models apply the reduced grid (i.e. the grid where the number of points in longitude is gradually reduced while approaching the poles). The construction of the global finite-difference semi-Lagrangian SL-AV model [1] enables the implementation of the reduced grid: some part of calculations is carried out in space of Fourier coefficients in longitude. Also, the semi-L...

In this paper, we focus on the development of a finite element model for predicting the contaminant concentration governed by the advective–dispersive equation. In this study, we take into account the first-order degradation of the contaminant to realistically model the transport phenomenon in groundwater. To solve the resulting unsteady advection–diffusion equation with production, a finite el...