معرفی
Stefano Lisini is a Researcher in the Department of Mathematical Analysis and Applications at the University of Pavia. His work focuses on advanced mathematical analysis, particularly in the areas of partial differential equations, optimal transport theory, and gradient flow dynamics. He has contributed significantly to the study of fractional thin-film equations, chemotaxis models, and nonlinear diffusion processes. His research often bridges pure mathematical analysis with applications in physics and biology.
Key research interests include the analysis of existence and asymptotic behavior of solutions to complex equations, optimal control problems in multi-agent systems, and the development of variational principles for transport phenomena. His studies on Wasserstein spaces and gradient flows have advanced the understanding of geometric measure theory and nonlinear dynamics.
Publications highlight contributions to fractional calculus applications, mean-field optimal control, and stability analysis of gradient flows. His work frequently explores the interplay between abstract mathematical frameworks and real-world systems, such as chemotaxis in biological contexts and phase transition models.
Lisini’s research has been applied to diverse fields, including the Keller-Segel system for chemotaxis, Cahn-Hilliard equations for phase separation, and porous medium equations with fractional pressure. His methodologies often integrate geometric analysis, functional analysis, and computational approaches to address challenging problems in mathematical physics and applied mathematics.
