معرفی
Pierluigi Colli is a Professor in the Department of Mathematics at the University of Pavia. His research focuses on mathematical analysis of phase transition models, optimal control theory, and applications to tumor growth modeling. He leads the Mathematical Analysis and Applications research group and has contributed extensively to the study of Cahn-Hilliard equations, viscoelastic systems, and nonlinear PDEs. His work integrates advanced analytical techniques with computational approaches, addressing problems in material science, biological systems, and thermodynamics. Colli has published over 100 peer-reviewed articles, with recent emphasis on tumor growth models, fractional operators, and dynamic boundary conditions.
His research interests include:
- Phase field systems and their applications
- Optimal control of PDEs
- Nonlinear parabolic equations
- Mathematical models in oncology
- Material deformation and viscoelasticity
- Nonlocal and fractional differential equations
Recent studies analyze tumor growth dynamics with chemotaxis effects, sparsity-constrained control strategies, and the interplay between thermal memory and phase transitions. Colli’s contributions to well-posedness, asymptotic analysis, and numerical methods have advanced understanding of complex systems in applied mathematics.
