In this paper we study a fractional diffusion Boussinesq model which couples the incompressible Euler equation for the velocity and a transport equation with fractional diffusion for the temperature.â€¦ (More)

In this paper we study a fractional diffusion Boussinesq model which couples a Navier-Stokes type equation with fractional diffusion for the velocity and a transport equation for the temperature. Weâ€¦ (More)

We prove the global well-posedness of the critical dissipative quasi-geostrophic equation for large initial data belonging to the critical Besov space á¸‚ âˆž,1(R ).

In this paper we study the super-critical 2D dissipative quasi-geostrophic equation. We obtain some regularization effects allowing us to prove global well-posedness result for small initial dataâ€¦ (More)

In this paper, we are interested in the global persistence regularity for the 2D incompressible Euler equations in some function spaces allowing unbounded vorticities. More precisely, we prove theâ€¦ (More)

In this paper we prove the global well-posedness for the three-dimensional EulerBoussinesq system with axisymmetric initial data without swirl. This system couples the Euler equation with aâ€¦ (More)

We revisit the description provided by Ph. Biane of the spectral measure of the free unitary Brownian motion. We actually construct for any t âˆˆ (0, 4) a Jordan curve Î³t around the origin, notâ€¦ (More)

We prove the existence of the V-states for the generalized inviscid SQG equations with Î± âˆˆ]0, 1[. These structures are special rotating simply connected patches with mâˆ’ fold symmetry bifurcating fromâ€¦ (More)