4 papers · 1 filter
Hyperbolic model of internal solitary waves in a three-layer stratified fluid
Alexander Chesnokov, Valery Liapidevskii
We derive a new hyperbolic model describing the propagation of internal waves in a stratified shallow water with a non-hydrostatic pressure distribution. The construction of the hy…
Hyperbolic Model for Free Surface Shallow Water Flows with Effects of Dispersion, Vorticity and Topography
Alexander Chesnokov, Trieu Nguyen
We derive a hyperbolic system of equations approximating the two-layer dispersive shallow water model for shear flows recently proposed by Gavrilyuk, Liapidevskii \& Chesnokov (J.…
Stability of shear shallow water flows with free surface
Alexander Chesnokov, Gennady El, Sergey Gavrilyuk +1
Stability of inviscid shear shallow water flows with free surface is studied in the framework of the Benney equations. This is done by investigating the generalized hyperbolicity o…
Stability analysis of shear flows in a Hele-Shaw cell
Alexander Chesnokov, Irina Stepanova
A mathematical model describing motion of an inhomogeneous incompressible fluid in a Hele-Shaw cell is considered. Linear stability analysis of shear flow class is provided. The ro…