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arXiv · 2602.07567

A Weighted Regularity Criterion for Suitable Weak Solutions of Incompressible Non-Newtonian Fluids

Jae-Myoung Kim
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Abstract

It establishes a regularity criterion for non-Newtonian fluids in $\mathbb{R}^3$ in terms of the weighted gradient of the velocity field, based on the Caffarelli--Kohn--Nirenberg inequality.

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Jae-Myoung Kim. 2026-02-07. A Weighted Regularity Criterion for Suitable Weak Solutions of Incompressible Non-Newtonian Fluids. https://arxiv.org/abs/2602.07567

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