130 citations · 159 across the 5 of their papers we have counts for
7 papers · 1 filter
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…
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…
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.…
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model
Peter A. Markowich, Edriss S. Titi, Saber Trabelsi
In this paper we introduce and analyze an algorithm for continuous data assimilation for a three-dimensional Brinkman-Forchheimer-extended Darcy (3D BFeD) model of porous media. Th…
Minimizers of a class of constrained vectorial variational problems: Part I
Hichem Hajaiej, Peter A. Markowich, Saber Trabelsi
In this paper, we prove the existence of minimizers of a class of multi-constrained variational problems. We consider systems involving a nonlinearity that does not satisfy compact…
Orbital stability of standing waves of a class of fractional Schrodinger equations with a general Hartree-type integrand
Y. Cho, M. M. Fall, H. Hajaiej +2
This article is concerned with the mathematical analysis of a class of a nonlinear fractional Schrodinger equations with a general Hartree-type integrand. We prove existence and un…
Analysis of the Multi-Configuration Time-Dependent Hartree-Fock Equations
Norbert J. Mauser, Saber Trabelsi
The multiconfiguration methods are widely used by quantum physicists and chemists for numerical approximation of the many electron Schrödinger equation. Recently, first mathematica…