11 citations · 21 across the 7 of their papers we have counts for
8 papers
The effect of boundary conditions on the stability of two-dimensional flows in an annulus with permeable boundary
Konstantin Ilin, Andrey Morgulis
We consider the stability of two-dimensional viscous flows in an annulus with permeable boundary. In the basic flow, the velocity has nonzero azimuthal and radial components, and t…
Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal
Andrey Morgulis, Konstantin Ilin
This article aims at exploring the short-wavelength stabilization and destabilization of the advection-diffusion systems formulated using the Patlak-Keller-Segel cross-diffusion. W…
On the stability of the Couette-Taylor flow between rotating porous cylinders with radial flow
Konstantin Ilin, Andrey Morgulis
We study the stability of the Couette-Taylor flow between porous cylinders with radial throughflow. It had been shown earlier that this flow can be unstable with respect to non-axi…
A remark on the disorienting of species due to the fluctuating environment
Andrey Morgulis, Konstantin Ilin
In this article we study the stabilizing of a primitive pattern of behaviour for the two-species community with chemotaxis due to the short-wavelength external signal. We use a sys…
Inviscid instability of an incompressible flow between rotating porous cylinders to three-dimensional perturbations
Konstantin Ilin, Andrey Morgulis
We study the stability of two-dimensional inviscid flows in an annulus between two porous cylinders with respect to three-dimensional perturbations. The basic flow is irrotational,…
Instability of a viscous flow between rotating porous cylinders with radial flow
Konstantin Ilin, Andrey Morgulis
The stability of a two-dimensional viscous flow between two rotating porous cylinders is studied. The basic steady flow is the most general rotationally-invariant solution of the N…