The Maxwell-Stefan system of multi-component diffusion

Athanasios Tzavaras, KAUST
9/24, 2025 at 11:10AM-12:00PM in 939 Evans (for in-person talks) and https://berkeley.zoom.us/j/98667278310

The Maxwell-Stefan is a system of nonlinear equations commonly used in the description of diffusion processes in multi-component systems, like gases with many constituents. I will first discuss how the Maxwell-Stefan system emerges through a process of alignment in the high-friction limit of multi-component Euler flows. Then I focus to : (i) Analytical issues on existence and uniqueness of the Maxwell-Stefan system and the role of relative entropy. (ii) Structure and existence theory of Maxwell-Stefan Cahn-Hilliard systems. (iii) The connection between minimization of the frictional dissipation and the Maxwell-Stefan system.