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Dr. Saber Trabelsi

Dr. Saber Trabelsi

Assistant Professor

Office Number: 316A
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