Peter Markowich

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.