Page Personnelle de Taoufik HMIDI
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| Accueil | Preprint 2009 [1] Global well-posedness for Euler-Boussinesq system with critical dissipation. ( with S. Keraani and F. Rousset). Pdf Abstract: 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. We prove global well-posedness results. |
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| Curriculum Vatae | [2] Global
well-posedness for a Boussinesq-
Navier-Stokes System with critical dissipation. (with S. Keraani and F. Rousset). Pdf Abstract: In this paper we study a fractional diffusion Boussinesq model which couplesa Navier-Stokes type equation with fractional diffusion for the velocity and a transport equation for the temperature. We establish global well-posedness results with rough initial data. [3] Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data (with S. Keraani and F. Rousset). Pdf Abstract: 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 transport-diffusion equation governing the temperature. Our result holds uniformly with respect to the heat conductivity coefficient $\kappa \geq 0$ which may vanish. Pdf [4] Global well-posedness for the Euler-Boussinesq system with axisymmetric data. Pdf Abstract: In this paper we prove the global well-posedness for the three-dimensional Euler-Boussinesq system with axisymmetric initial data without swirl. This system couples the Euler equation with a transport-diffusion equation governing the temperature. |
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