14 citations · 24 across the 3 of their papers we have counts for
5 papers · 1 filter
Reflectionless wave propagation on shallow water with variable bathymetry and current. II
Semyon M. Churilov, Yury A. Stepanyants
We show that in the linear approximation there are three classes of reflectionless wave propagation on a surface of shallow water in the channel with spatially varying depth, width…
Hydrodynamic models of astrophysical wormholes. The general concept
Semyon Churilov, Yury Stepanyants
We study hydrodynamic models of astrophysical wormholes when water waves can be amplified in the course of propagation between two critical points where wave and current speeds coi…
Scattering of surface shallow water waves on a draining bathtub vortex
Semyon Churilov, Yury Stepanyants
In the linear approximation we study long wave scattering on an axially symmetric flow in a shallow water basin with a drain in the center. This classical problem can be considered…
Scattering of long water waves in a canal with rapidly varying cross-section in the presence of a current
Semyon Churilov, Andrei Ermakov, Germain Rousseaux +1
The analytical study of long wave scattering in a canal with a rapidly varying cross-section is presented. It is assumed that waves propagate on a stationary current with a given f…
Wave Scattering in Spatially Inhomogeneous Currents
Semyon Churilov, Andrei Ermakov, Yury Stepanyants
We analytically study a scattering of long linear surface waves on stationary currents in a duct (canal) of constant depth and variable width. It is assumed that the background vel…