56 citations · 141 across the 7 of their papers we have counts for
4 papers · 1 filter
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…