90 citations · 472 across the 43 of their papers we have counts for
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Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data
Taoufik Hmidi, Frederic Rousset
In this paper we prove the global well-posedness for a three-dimensional Boussinesq system with axisymmetric initial data. This system couples the Navier-Stokes equation with a tra…
On a maximum principle and its application to logarithmically critical Boussinesq system
Taoufik Hmidi
In this paper we study a transport-diffusion model with some logarithmic dissipations. We look for two kinds of estimates. The first one is a maximum principle whose proof is based…
On the global regularity of axisymmetric Navier-Stokes-Boussinesq system
Hamadi Abidi, Taoufik Hmidi, Sahbi Keraani
In this paper we prove a global well-posedness result for tridimensional Navier-Stokes-Boussinesq system with axisymmetric initial data. This system couples Navier-Stokes equations…
Global well-posedness for a Boussinesq- Navier-Stokes System with critical dissipation
Taoufik Hmidi, Sahbi Keraani, Frederic Rousset
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 t…
Global well-posedness for Euler-Boussinesq system with critical dissipation
Taoufik Hmidi, Sahbi Keraani, Frederic Rousset
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 f…