Topic: The Nonlocal Cahn-Hilliard Equation

Lecturer: Maurizio Grasselli (Professor, Polytechnic University of Milan, Italy)

Time: May 9, 2025, 9:00 - 10:00, UTC+8

Venue: Room 213, Mathematics and Statistics Building

Biography: Maurizio Grasselli is currently a Full Professor at the Polytechnic University of Milan, Italy. He received his Ph.D. from the University of Milan in 1991. His research spans inverse problems for differential and integro-differential equations, infinite-dimensional dissipative dynamical systems, and diffusion interface models. He has authored numerous high-quality publications in leading international journals, such as SIAM J. Math. Anal., Ann. Inst. H. Poincaré C Anal. Non Linéaire, J. Funct. Anal., Comm. Partial Differential Equations, Calc. Var. Partial Differential Equations, Arch. Ration. Mech. Anal.

Abstract: This lecture will introduce the nonlocal Cahn-Hilliard equation and review key theoretical results established by various authors, with a focus on solution concepts and their properties. Additionally, the coupling of this equation with the Navier-Stokes system and Darcy’s law will be briefly discussed. The analysis highlights mathematical challenges and advances in modeling phase separation phenomena under nonlocal interactions, offering insights into applications ranging from materials science to fluid dynamics.

Rewritten by: Li Huihui

Edited by: Li Tiantian

Source: School of Mathematics and Statistics