
Dr. Saber Trabelsi
Adjunct Assistant Professor (Mathematics)
Office Number: 317E
Office Phone:
Interest Areas
Saber’s primary research interests are in the modeling, mathematical and numerical analysis of partial differential equations (PDEs) and their application in quantum chemistry/mechanics, data assimilation and engineering. In particular he is interested in
- Mathematical and numerical analysis of approximations of the N-particle time-dependent Schrödinger equation: Hartree, Hartree-Fock, Multi-configuration Hartree-Fock etc.
- Mean-Field Limit for the dynamics of large particle quantum systems
- Orbital stability of standing waves of NLS-kind equations (Gross-Pitaevskii, constrained vectorial variational problems)
- Modeling, mathematical and numerical analysis of non-Darcy fluid flow through porous media
- Analysis of nonlinear systems of PDEs arising from Magnetohydrodynamics (MHD)
- Inverse problems in fluid mechanics
- Design and analysis of data assimilation (downscaling) algorithms in fluid mechanics