Partial Regularity of Navier-Stokes Equations
Analysis of PDEs
2023-08-09 v1
Abstract
We prove, with a more geometric approach, that the solutions to the Navier-Stokes equations are regular up to a set of Hausdorff dimension 1. The main tool for the proof is a new compactness lemma and the monotonicity property of harmonic functions.
Keywords
Cite
@article{arxiv.2308.04147,
title = {Partial Regularity of Navier-Stokes Equations},
author = {Lihe Wang},
journal= {arXiv preprint arXiv:2308.04147},
year = {2023}
}
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16 pages