Francesco Salvarani

Francesco Salvarani is a Full Professor in the Department of Mathematics 'Federigo Enriques' at the University of Pavia, Italy. His research focuses on kinetic theory, nonlinear partial differential equations, and their applications to gas dynamics, collective behavior, and mathematical biology. He has contributed extensively to the analysis of Boltzmann-type equations, diffusion asymptotics, and homogenization techniques in multiscale systems.

Key research directions include:

• Development of kinetic models for polyatomic gases and resonant collision processes
• Mathematical analysis of consensus formation in socio-economic systems
• Homogenization methods for transport equations in heterogeneous media
• Applications to planetary ring dynamics and opinion manipulation in social networks

His work bridges theoretical analysis and numerical simulations, with applications ranging from astrophysics to epidemiological modeling. He maintains an active research group and collaborates internationally on interdisciplinary projects at the interface of mathematics and physics.