130 citations · 159 across the 5 of their papers we have counts for
8 papers
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…
Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations
C. Bardos, I. Catto, N. Mauser +1
In this paper we motivate, formulate and analyze the Multi-Configuration Time-Dependent Hartree-Fock (MCTDHF) equations for molecular systems under Coulomb interaction. They consis…