Showing 2025Show all
2 papers · 1 filter
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.PR2025
Exponentially mixing flows with slow enhanced dissipation
William Cooperman, Gautam Iyer, Keefer Rowan +1
Consider a passive scalar which is advected by an incompressible flow and has small molecular diffusivity . Previous results show that if is exponentially mixing and $C^…