56 citations · 268 across the 20 of their papers we have counts for
8 papers · 1 filter
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…
Rankine--Hugoniot conditions for fluids whose energy depends on space and time derivatives of density
S. L. Gavrilyuk, Henri Gouin
By using the Hamilton principle of stationary action, we derive the governing equations and Rankine-Hugoniot conditions for continuous media where the specific energy depends on th…
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…
A Kinematic Conservation Law in Free Surface Flow
Sergey Gavrilyuk, Henrik Kalisch, Zahra Khorsand
The Green-Naghdi system is used to model highly nonlinear weakly dispersive waves propagating at the surface of a shallow layer of a perfect fluid. The system has three associated…
Hamilton's Principle and Rankine-Hugoniot Conditions for General Motions of Mixtures
Henri Gouin, Sergey Gavrilyuk
In previous papers, we have presented hyperbolic governing equations and jump conditions for barotropic fluid mixtures. Now we extend our results to the most general case of two-fl…
Hyperbolic Models of Homogeneous Two-Fluid Mixtures
Sergey L. Gavrilyuk, Henri Gouin, Yurii Perepechko
One derives the governing equations and the Rankine - Hugoniot conditions for a mixture of two miscible fluids using an extended form of Hamilton's principle of least action. The L…
Bubble effect on Kelvin-Helmholtz' instability
Sergey L. Gavrilyuk, Henri Gouin, Vladimir M. Teshukov
We derive boundary conditions at interfaces (contact discontinuities) for a class of Lagrangian models describing, in particular, bubbly flows. We use these conditions to study Kel…
A new form of governing equations of fluids arising from Hamilton's principle
Sergey Gavrilyuk, Henri Gouin
A new form of governing equations is derived from Hamilton's principle of least action for a constrained Lagrangian, depending on conserved quantities and their derivatives with re…