5 citations · 5 across the 8 of their papers we have counts for
10 papers
Long nonlinear internal waves and mixing in a three-layer stratified flow in the Boussinesq approximation
Alexander Chesnokov, Sergey Gavrilyuk, Valery Liapidevskii
A one-dimensional long-wave model of an unsteady three-layer flow of a stratified fluid under a lid is proposed, taking into account turbulent mixing in the intermediate layer. In…
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.…
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…
Viscosity-Stratified Flow in a Hele-Shaw Cell
Alexander Chesnokov, Valery Liapidevskii
A hierarchy of mathematical models describing viscosity-stratified flow in a Hele-Shaw cell is constructed. Numerical modelling of jet flow and development of viscous fingers with…
Propagation of nonlinear waves in a rarefied bubbly flow
Alexander A. Chesnokov, Maxim V. Pavlov
The one-dimension Russo--Smereka kinetic equation describing the propagation of nonlinear concentration waves in a rarefied bubbly fluid is considered. Reductions of the model to f…
Symmetries and exact solutions of the rotating shallow water equations
Alexander Chesnokov
Lie symmetry analysis is applied to study the nonlinear rotating shallow water equations. The 9-dimensional Lie algebra of point symmetries admitted by the model is found. It is sh…