Keefer Rowan

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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.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

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…

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

A subsequentially fast dynamo on T3

Fourier mass lower bounds for Batchelor-regime passive scalars

A universal total anomalous dissipator

Superexponential dissipation enhancement on $T^{d}$

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