Modeling the neuro-metabolism-vascular coupling
Modeling the neuro-metabolism-vascular coupling
Control of distributed solar field
This project focuses on the control of solar collectors. Per its distributed nature, the control of the solar collector is challenging. We aim at developing different control strategy and compare their performance.
Inverse problems
We are interested in extending some mathematical methods, including observer-based and modulating functions techniques, generally used for ODEs, to study and solve some inverse problems for dynamical systems, PDEs (such as the wave equation and the Cauchy problem for the Laplace equation) and fractional PDEs.
Signal and image analysis using the squared eigenfunctions of Shrodinger operator
We are interested in the a semi-classical signal analysis method, which considers the signal as a potential of the Schrodinger operator and uses the discrete spectrum of this operator to analyze the signal. We try to understand the mathematical properties of this method and study its extension to image analysis. We also work on the application of this method for signal/image denosing with a focus on biomedical signals/images.
Modeling, control and optimization of Solar-driven membrane distillation plant
We focus in this project on developing appropriate models and efficient strategy for the optimal control of a solar-driven membrane distillation plant.