4 papers
Formation and evolution of roll waves in a shallow free surface flow of a power-law fluid down an inclined plane
Alexander Chesnokov
A laminar flow of a thin layer of mud down an inclined plane under the action of gravity is considered. The instability of a film flow and the formation of finite amplitude waves a…
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…
Mixing layer and turbulent jet flow in a Hele--Shaw cell
Alexander Chesnokov, Valery Liapidevskii
A plane turbulent mixing in a shear flow of an ideal homogeneous fluid confined between two relatively close rigid walls is considered. The character of the flow is determined by i…
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.…