Keefer Rowan

activity

20232026

most citedHigher-order propagation of chaos in

L^{2}

for interacting diffusions

7 citations · 7 across the 15 of their papers we have counts for

collaborators

15 papers

math.AP2026

An AI-discovered smooth random fast dynamo on $T^{3}$

Keefer Rowan

We construct a random, time-dependent divergence-free velocity field on $T^{3}$ ---refreshing iid on finite time blocks and obeying deterministic $C_{t, x}^{\infty}$ bounds---th…

math.PR2026

Effective Lagrangian regularity and the uniqueness threshold for random Hölder velocity fields

Maria Colombo, Elias Hess-Childs, Keefer Rowan

We study the behavior of the ordinary differential equations, flow maps, and continuity equations associated to autonomous random velocity fields that admit a natural multiscale fi…

math.PR2026

Sharp pathwise nonuniqueness for additive SDEs

Elias Hess-Childs, Keefer Rowan

We construct a family of velocity fields demonstrating the sharpness of the classical Zvonkin--Veretennikov--Davie strong well-posedness by noise regime. We consider stochastic dif…

math.AP2025

The Obukhov--Corrsin spectrum of passive scalar turbulence through anomalous regularization

Keefer Rowan

The Obukhov--Corrsin spectrum predicts the distribution of Fourier mass for a passive scalar field advected by a "turbulent" velocity field with spatial regularity $C_{x}^{α}$ for $α\i…

math.AP2025

Superexponential dissipation enhancement on $T^{d}$

Keefer Rowan

We construct incompressible velocity fields that exhibit faster than exponential dissipation for particular solutions to the advection-diffusion equation on $T^{d}$ . In 2D,…

math.AP2025

Turbulent and intermittent phenomena in a universal total anomalous dissipator

Elias Hess-Childs, Keefer Rowan

For all $α \in (0, 1)$ , we construct an explicit divergence-free vector field $V \in L^{\infty} ([0, 1], C^{α} (T^{2}))$ that exhibits universal anomalous (total) dissipation, acceler…

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.AP2025

A subsequentially fast dynamo on $T^{3}$

Keefer Rowan

We construct a smooth velocity field $u$ on $R_{+} \times T^{3}$ that exhibits kinematic dynamo action, causing exponential growth in solutions to the magnetohydrodyn…

math.AP2025

Divergence-free drifts decrease concentration

Elias Hess-Childs, Renaud Raquépas, Keefer Rowan

We show that bounded divergence-free vector fields $u : [0, \infty) \times R^{d} \to R^{d}$ decrease the ''concentration'', quantified by the modulus of absolute contin…

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…

math.AP2025

A universal total anomalous dissipator

Elias Hess-Childs, Keefer Rowan

For all $α \in (0, 1)$ , we construct an explicit divergence-free vector field $V \in L_{t}^{\infty} C_{x}^{α} \cap C_{t}^{\frac{α}{1 - α}} L_{x}^{\infty}$ so that the solutions to the drift-diffusion equ…

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.AP2024

Accelerated relaxation enhancing flows cause total dissipation

Keefer Rowan

We show that by "accelerating" relaxation enhancing flows, one can construct a flow that is smooth on $[0, 1) \times T^{d}$ but highly singular at $t = 1$ so that for any posit…

math-ph2023

On anomalous diffusion in the Kraichnan model and correlated-in-time variants

Keefer Rowan

We provide a concise PDE-based proof of anomalous diffusion in the Kraichan model -- a stochastic, white-in-time model of passive scalar turbulence. That is, we show an exponential…

math.PR2023★ 7 cited

Higher-order propagation of chaos in $L^{2}$ for interacting diffusions

Elias Hess-Childs, Keefer Rowan

In this paper, we study diffusions with bounded pairwise interaction. We show for the first time propagation of chaos on arbitrary time horizons in a stronger $L^{2}$ -based distance,…

An AI-discovered smooth random fast dynamo on T3

Effective Lagrangian regularity and the uniqueness threshold for random Hölder velocity fields

Sharp pathwise nonuniqueness for additive SDEs

The Obukhov--Corrsin spectrum of passive scalar turbulence through anomalous regularization

Superexponential dissipation enhancement on Td

Turbulent and intermittent phenomena in a universal total anomalous dissipator

Exponentially mixing flows with slow enhanced dissipation

A subsequentially fast dynamo on T3

Divergence-free drifts decrease concentration

Fourier mass lower bounds for Batchelor-regime passive scalars

A universal total anomalous dissipator

Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing

Accelerated relaxation enhancing flows cause total dissipation

On anomalous diffusion in the Kraichnan model and correlated-in-time variants

Higher-order propagation of chaos in L2 for interacting diffusions

An AI-discovered smooth random fast dynamo on $T^{3}$

Superexponential dissipation enhancement on $T^{d}$

A subsequentially fast dynamo on $T^{3}$

Higher-order propagation of chaos in $L^{2}$ for interacting diffusions