English

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

Analysis of PDEs 2026-02-10 v1

Abstract

It establishes a regularity criterion for non-Newtonian fluids in R3\mathbb{R}^3 in terms of the weighted gradient of the velocity field, based on the Caffarelli--Kohn--Nirenberg inequality.

Keywords

Cite

@article{arxiv.2602.07567,
  title  = {A Weighted Regularity Criterion for Suitable Weak Solutions of Incompressible Non-Newtonian Fluids},
  author = {Jae-Myoung Kim},
  journal= {arXiv preprint arXiv:2602.07567},
  year   = {2026}
}