A regularity criterion for the dissipative quasi-geostrophic equations
Air entrainment in transient flows in closed water pipes : A two-layer approach
In this paper, we first construct a model for free surface flows that takes into account the air entrainment by a system of four partial differential equations. We derive it by taking averaged values of gas and fluid velocities on the cross surface flow in the Euler equations (incompressible for the fluid and compressible for the gas). The obtained system is conditionally hyperbolic. Then, we propose a mathematical kinetic interpretation of this system to finally construct a two-layer kinetic scheme...
Asymptotic stability of a stationary flowing regime of an ideal incompressible fluid.
Attractor for a viscous coupled Camassa-Holm equation.