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Dissipation Enhancement by Mixing and Suppression of Phase Separation

Speaker

Yuanyuan Feng, Penn State University

Time

2019.12.24 16:00-17:00

Venue

Room 306, No.5 Science Building

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.