William Cooperman

activity

20212026

most citedA near-optimal rate of periodic homogenization for convex Hamilton-Jacobi equations

7 citations · 7 across the 12 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

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 $u$ and has small molecular diffusivity $κ$ . Previous results show that if $u$ is exponentially mixing and $C^…

math.PR2025

Residual Diffusivity for Expanding Bernoulli Maps

William Cooperman, Gautam Iyer, James Nolen

Consider a discrete time Markov process $X^{ε}$ on $R^{d}$ that makes a deterministic jump based on its current location, and then takes a small Gaussian step of variance $ε^{2}$ …

math.AP2025

Fourier mass lower bounds for Batchelor-regime passive scalars

William Cooperman, Keefer Rowan

Batchelor predicted that a passive scalar $ψ^{ν}$ with diffusivity $ν$ , advected by a smooth fluid velocity, should typically have Fourier mass distributed as $|\hat ψ^ν|^2(k) \appro…