Title: Numerical solution and shape optimization of a nonlinear PDEs system. Application to nonlinear flow phenomena in nanofluidic devices.
Description: The objective of this project is numerical solution, and optimization of a nonlinear system of Partial Differential Equations (PDEs) describing electro-kinetic flow phenomena in nanofluidic domains. The successful candidate is expected to use and develop efficient numerical methods such as finite element and neural network methods. The research relates to several technological applications, including electrochemical energy devices and nanofluidic computing, but also to biological ion channels. Numerical simulations will play a large role in this project.
Travel: This project may include research visits to the University of Alberta, as travel restrictions allow.
Funding: This project will be funded as by the stands of University of Ottawa ($4500/year).
This project will be co-supervised by me and my colleague Peter Berg at University of Alberta.