madim@pmu.edu.sa
F099
Dr. Mahieddine Adim joins PMU as an Assistant Professor of Mathematics. He holds a Ph.D. in Mathematics from the University of Rennes, France, where his research focused on nonlinear partial differential equations, particularly in oceanography. His work on multilayer shallow water systems investigated wave propagation in the presence of turbulence. Dr. Mahieddine Adim has teaching experience at both university and secondary levels in France, delivering courses such as topology, linear algebra, and multivariable analysis to students in mathematics, physics, and computer science. His teaching philosophy emphasizes clarity, accessibility, and engagement, fostering rigorous logical thinking and helping students understand mathematics as a powerful tool for interpreting the natural world. He has published in recognized journals, including SAGE and Comptes Rendus Mathématique de l’Académie des Sciences. His research interests included nonlinear PDEs, fluid dynamics, and mathematical modeling. At PMU, Dr. Mahieddine Adim aims to contribute to high-quality teaching while supporting Saudi Arabia’s Vision 2030 through the development of strong analytical skills in students and fostering a deeper appreciation of mathematics in science and engineering."
Ph.D. in Mathematics, University of Rennes, Rennes, France.
Master's Degree in Mathematics, University of Rennes, Rennes, France.
Bachelor's Degree in Mathematics, University of Science and Technology Houari Boumediene (USTHB), Algiers, Algeria.
First Year of Preparatory Studies, École Nationale Supérieure d'Informatique (ESI), Algiers, Algeria.
Adim, M. (2025). Approximating a continuously stratified hydrostatic system by the multi-layer shallow water system. Asymptotic Analysis, 143(2), 806–851. https://doi.org/10.3233/ASY-241926
Adim, M., Bianchini, R., & Duchêne, V. (2024). Relaxing the sharp density stratification and columnar motion assumptions in layered shallow water systems. Comptes Rendus Mathématique, 362, 1597–1626. https://doi.org/10.5802/crmath.665
Dr. Mahieddine Adim's research focuses on the mathematical analysis of nonlinear partial differential equations (PDEs), with particular applications to geophysical fluid dynamics and physical oceanography. His doctoral research investigated density-stratified flows, hydrostatic models, and multilayer shallow water systems, with an emphasis on the mathematical justification of reduced models describing complex ocean dynamics. His work also addresses the effects of turbulent mixing through the Gent–McWilliams parameterization, as well as fundamental questions of well-posedness, stability, and convergence between discrete multilayer models and continuously stratified fluid systems. His broader research interests include mathematical modeling, and the rigorous analysis of nonlinear fluid dynamics.
University of Rennes, Rennes, France
Conducted doctoral research in applied mathematics, specializing in nonlinear partial differential equations, geophysical fluid dynamics, and mathematical oceanography.
Investigated hydrostatic models, density-stratified flows, and multilayer shallow water systems, contributing to peer-reviewed scientific publications.
Taught undergraduate mathematics courses to students in mathematics, physics, and computer science, covering linear algebra, multivariable calculus, and mathematical analysis.
Designed teaching materials, conducted lectures and tutorials, and assessed student performance.
Collège Beurnonville, Troyes, France
Taught mathematics at the secondary school level, covering algebra, geometry, numerical methods, and mathematical reasoning.
Designed and delivered structured lessons adapted to different academic levels and students' learning needs.
Developed assessments, monitored academic progress, and provided individualized support to strengthen students' mathematical understanding.
Promoted analytical thinking, problem-solving skills, and active participation in the classroom.
Prince Mohammad Bin Fahd University (PMU), Al Khobar, Saudi Arabia
Teach undergraduate and preparatory mathematics courses, including Pre-Calculus and Introductory Algebra.
Design and deliver lectures emphasizing conceptual understanding, mathematical reasoning, and practical problem-solving skills.
Develop instructional materials, assignments, and assessments to evaluate student learning and academic progress.
Contribute to the university's commitment to academic excellence by promoting critical thinking and a strong mathematical foundation.
PRPM0011_114_2710 – Introductory Algebra
PRPM0011_125_2710 – Introductory Algebra
PRPM0022_106_2710 – Pre-Calculus
Dr. Mahieddine Adim's research focuses on the mathematical analysis of nonlinear partial differential equations (PDEs) and their applications to geophysical fluid dynamics and physical oceanography. His work particularly investigates density-stratified flows, hydrostatic models, and multilayer shallow water systems, with an emphasis on the mathematical justification of reduced models for complex ocean dynamics. His research also explores the effects of turbulent mixing through the Gent–McWilliams parameterization, addressing questions of well-posedness, stability, and convergence between discrete multilayer models and continuously stratified fluid systems.
