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math.DS2025
Quantitative dependence of the Pierrehumbert flow's mixing rate on the amplitude
Seungjae Son
We quantitatively study the mixing rate of randomly shifted alternating shears on the torus. This flow was introduced by Pierrehumbert '94, and was recently shown to be exponential…
math.DS2025
A Harris theorem for enhanced dissipation, and an example of Pierrehumbert
William Cooperman, Gautam Iyer, Seungjae Son
In many situations, the combined effect of advection and diffusion greatly increases the rate of convergence to equilibrium -- a phenomenon known as enhanced dissipation. Here we s…