3 papers
physics.flu-dyn2019
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.…
physics.flu-dyn2016
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…
physics.flu-dyn2015
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…