Peter Markowich is a Professor at the Department of Mathematics, Faculty of Mathematics, with a prolific research career spanning over three decades. His work bridges Partial Differential Equations (PDEs) , Mathematical Biology , and Quantum Mechanics , focusing on modeling complex systems across disciplines. Key research themes include biological network formation (e.g., blood vessel and plant vein structures), nonlinear Schrödinger equations for quantum systems, and reaction-diffusion dynamics in chemotaxis and pedestrian flow. Recent publications (2023-2025) explore self-regulated biological transportation structures, tensor PDE models, and orbital stability of standing waves in fractional quantum systems. 2025 : Condition number analysis in biological network PDEs 2024 : 1D entropy dissipation models 2023 : Gradient flows for network emergence and Hughes’ pedestrian model theory His methodological contributions include numerical schemes for multiscale problems (e.g., XFEL simulations) and analytical frameworks for existence/uniqueness in singular PDEs. Collaborations span global institutions, with co-authors like Y. Cho, C. Sparber, and H. Hajaiej.





