Work

Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars

Year: 2026

Type: article

Abstract: ABSTRACT Batchelor predicted that a passive scalar with diffusivity , advected by a smooth fluid velocity, should typically have Fourier mass distributed as for . For a broad class of velocity fields, we give a quantitative lower bound for a version of this prediction summed over constant width annuli in Fourier space. This improves on previously known results, which require the prediction to be summed over the whole ball.

Source: Communications on Pure and Applied Mathematics

DOI: 10.1002/cpa.70030

Authors: William Cooperman, Keefer Rowan

Institutions: ETH Zurich, Courant Institute of Mathematical Sciences, New York University

Language: English

Topic: Fluid Dynamics and Turbulent Flows

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $5,230

Funder: National Science Foundation