Hussain Al Abdulaziz
Hussain Al Abdulaziz is a PhD candidate in Mathematics at KAUST, researching mean-field games, gradient flows, nonlinear partial differential equations, and mathematical modeling.
Biography
Hussain Al Abdulaziz is a PhD candidate in Applied Mathematics and Computational Science at King Abdullah University of Science and Technology (KAUST), under the supervision of Professor Diogo Gomes. He joined KAUST in August 2021 and received his master's degree in May 2023, with a thesis titled Mass-Preserving Gradient Flows. He began his doctoral studies in June 2023.His research focuses on mean-field games, gradient flows, nonlinear partial differential equations, numerical methods for mean-field games, and mathematical modeling.
Expertise and Interests
Mean-field games, gradient flows, nonlinear partial differential equations, numerical methods for mean-field games, monotonicity methods, and mathematical modeling.
About
Hussain Al Abdulaziz's research focuses on mean-field games, gradient flows, nonlinear partial differential equations, and numerical methods. His work combines theoretical analysis and numerical simulations, with particular interest in the existence, uniqueness, and convergence of solutions.
His master's thesis, Mass-Preserving Gradient Flows (KAUST, 2023), studied mass-preserving gradient flows. His subsequent research, Bregman-projected mirror methods for regularized stationary mean-field games (2026), investigates theoretical and numerical methods for solving stationary mean-field games.
His current research also includes the mathematical modeling and numerical analysis of mean-field games.
Education
- Bachelor
- Mathematics, King Fahd University of Petroleum and Minerals (KFUPM), Saudi Arabia, 2020
- Master
- Applied Mathematics, King Abdullah University of Science and Technology (KAUST), Saudi Arabia, 2023