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Weakly Vanishing Divergence-Free Fields with Nonzero Projected Quadratic Flux

Year: 2026

Type: article

Abstract: A smooth periodic divergence-free sequence converges weakly to zero while its quadratic tensor converges to a nonzero defect tensor. The limiting divergence has nonzero curl and therefore survives the Leray projection. The example concerns weak convergence of velocity fields and does not assert that the fields solve one fixed Navier-Stokes problem.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.23887946

Author: Guo, Ziping

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225124229

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Related to: 10