Hammadi Abidi

On the Global Well-Posedness of the Critical Quasi-Geostrophic Equation

We prove the global well-posedness of the critical dissipative quasi-geostrophic equation for large initial data belonging to the critical Besov space

Global existence for the magnetohydrodynamic system in critical spaces

\dot B^0_{\infty,1}(\RR^2).

Existence globale pour un fluide inhomogène

In this article, we show that the magnetohydrodynamic system in

On the Wellposedness of Three-Dimensional Inhomogeneous Navier–Stokes Equations in the Critical Spaces

\mathbb{R}^N

On the global well-posedness for the axisymmetric Euler equations

with variable density, variable viscosity and variable conductivity has a local weak solution in the Besov space

Well-posedness of 3-D inhomogeneous Navier–Stokes equations with highly oscillatory initial velocity field

\dot{B}^{N/p_1}_{p_1,1}(\mathbb{R}^N)\times\dot{B}^{(N/p_2)-1}_{p_2,1}(\mathbb{R}^N) \times\dot{B}^{(N/p_2)-1}_{p_2,1}(\mathbb{R}^N)

On the global regularity of axisymmetric Navier-Stokes-Boussinesq system

for all

Résultats de régularité de solutions axisymétriques pour le système de Navier–Stokes

1 and some

Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier–Stokes system

1 if the initial density approaches a positive constant. Moreover, this solution is unique if we impose the restrictive condition