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Enhanced dissipation, and residual diffusivity

Gautam Iyer (Carnegie Mellon University)
Wed, May 29 2024, 12:00pm

In many situations, the combined effect of advection anddiffusion enhances dissipation. I will talk about this in two contexts: The first is for a randomly shifted alternating shear flows where we show that dissipation enhancement occurs on time scale O(\ln κ), where κ is the molecular diffusivity. The second is in a discrete time setting where we show that the effective diffusivity does not vanish with the molecular diffusivity. This is joint work with SJ Son and W. Cooperman and J. Nolen.