12 citations · 17 across the 4 of their papers we have counts for
4 papers
Global existence for the MHD system in critical spaces
Hammadi Abidi, Marius Paicu
In this article, we show that the magneto-hydrodynamic system (MHD) in with variable density, variable viscosity and variable conductivity has a local weak solution in the B…
On the global well-posedness for the axisymmetric Euler equations
Hammadi Abidi, Taoufik Hmidi, Sahbi Keraani
This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in critical Besov spaces . In this case the BKM crite…
On the global existence for the axisymmetric Euler equations
Hammadi Abidi, Taoufik Hmidi, Sahbi Keraani
This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in some critical Besov spaces
On the global well-posedness of the critical quasi-geostrophic equation
Hamadi Abidi, Taoufik Hmidi
We prove the global well-posedness of the critical dissipative quasi-geostrophic equation for large initial data belonging to the critical Besov space $\dot B^0_{\infty,1}(\RR^2).$