Jan 6, 2020
Dissipation enhancement by mixing and suppression of phase separation
The Pennsylvania State University
Abstract: We quantitatively study the interaction between diffusion and mixing in both the continuous, and discrete time setting. In discrete time, we consider a mixing dynamical system interposed with diffusion. In continuous time, we consider the advection diffusion equation where the advecting vector field is assumed to be sufficiently mixing. We then study the addictive Cahn-Hilliard equation. We prove that when the flow is sufficiently mixed, phase separation will be prevented.