3 papers
math.AP2022
Global well-posedness of a three-dimensional Brinkman-Forchheimer-Bénard convection model in porous media
Edriss S. Titi, Saber Trabelsi
We consider three-dimensional (3D) Boussinesq convection system of an incompressible fluid in a closed sample of a porous medium. Specifically, we introduce and analyze a 3D Brinkm…
math.AP2018
Global Well-Posedness of a 3D MHD Model in Porous Media
Edriss S. Titi, Saber Trabelsi
In this paper we show the global well-posedness of solutions to a three-dimensional magnetohydrodynamical (MHD) model in porous media. Compared to the classical MHD equations, our…
math.AP2016
Existence and uniqueness of global solutions for the modified anisotropic 3D Navier-Stokes equations
Hakima Bessaih, Saber Trabelsi, Hamdi Zorgati
We study a modified three-dimensional incompressible anisotropic Navier-Stokes equations. The modification consists in the addition of a power term to the nonlinear convective one.…