Note sur la théorie des tourbillons liquides.
Numerical simulation of 3D transonic flow through cascades
The paper deals with the numerical solution of 3D transonic flow through axial turbine cascades. Finite volume methods based on TVD MacCormack cell-centered and Ni’s cell-vertex schemes are discussed. A comparison of numerical results for 3D stator and rotor cascades is presented.
On a free boundary problem for the stationary Navier-Stokes equations
On a model of rotating superfluids
We consider an energy-functional describing rotating superfluids at a rotating velocity , and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical above which energy-minimizers have vortices, evaluations of the minimal energy as a function of , and the derivation of a limiting free-boundary problem.
On a model of rotating superfluids
We consider an energy-functional describing rotating superfluids at a rotating velocity ω, and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical ω above which energy-minimizers have vortices, evaluations of the minimal energy as a function of ω, and the derivation of a limiting free-boundary problem.
On instability of axially symmetric equilibrium figures of rotating viscous incompressible liquid.
On Lichtenstein's analysis of rotating newtonian stars
On the bifurcation of flows of a heat-conducting fluid between two rotating permeable cylinders.
On the equation of a rotating film.
On two-dimensional and three dimensional axially-symmetric rotational flows of an ideal incompressible fluid
On Unsteady Boundary Layers In A Rotating Fluid With Time-Dependent Suction
On unsteady compressible laminar boundary layers past bodies of revolution spinning about its axis.
On unsteady two-phase fluid flow due to eccentric rotation of a disk.
Quasi-geostrophic type equations with weak initial data.
Regularity and Blow up for Active Scalars
We review some recent results for a class of fluid mechanics equations called active scalars, with fractional dissipation. Our main examples are the surface quasi-geostrophic equation, the Burgers equation, and the Cordoba-Cordoba-Fontelos model. We discuss nonlocal maximum principle methods which allow to prove existence of global regular solutions for the critical dissipation. We also recall what is known about the possibility of finite time blow...
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
Rotating drops in a vessel
Rotating drops in a vessel. Existence of local minima
Rotating drops trapped between parallel planes
Rotating shallow water modeling of planetary, astrophysical and plasma vortical structures. (Plasma transport across a magnetic field, model of the Jupiter's GRS, prediction of existence of giant vortices in spiral galaxies).