56 citations · 268 across the 20 of their papers we have counts for
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Variational formulation for models of shear shallow water flows and ideal turbulence
Sergey Gavrilyuk, Henri Gouin
The shallow water equations without shear effects are similar to the gas dynamics equations with a polytropic equation of state. When the shear effects are taken into account, the…
Dynamic boundary conditions for membranes whose surface energy depends on the mean and Gaussian curvatures
Sergey Gavrilyuk, Henri Gouin
Membranes are an important subject of study in physical chemistry and biology. They can be considered as material surfaces with a surface energy depending on the curvature tensor.…
Geometric evolution of the Reynolds stress tensor
Sergey L. Gavrilyuk, Henri Gouin
The dynamics of the Reynolds stress tensor for turbulent flows is described with an evolution equation coupling both geometric effects and turbulent source terms. The effects of th…
Dynamics of liquid nanofilms
Henri Gouin, Sergey Gavrilyuk
The van der Waals forces across a very thin liquid layer (nanofilm) in contact with a plane solid wall make the liquid nonhomogeneous. The dynamics of such flat liquid nanofilms is…
Wetting problem for multi-component fluid mixtures
Henri Gouin, Sergey Gavrilyuk
In this paper we propose an extension of the Cahn method to binary mixtures and study the problem of wetting near a two-phase critical point without any assumption on the form of i…
A variational principle for two-fluid models
Sergey Gavrilyuk, Henri Gouin, Yurii Perepechko
A variational principle for two-fluid mixtures is proposed. The Lagrangian is constructed as the difference between the kinetic energy of the mixture and a thermodynamic potential…