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math.AP2024
Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing
William Cooperman, Keefer Rowan
We show exponential mixing of passive scalars advected by a solution to the stochastic Navier-Stokes equations with finitely many (e.g. four) forced modes satisfying a hypoelliptic…
math.DS2024
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…