Partial Regularity of Navier-Stokes Equations

Lihe Wang

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arXiv · 2308.04147

Partial Regularity of Navier-Stokes Equations

Lihe Wang

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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.

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Lihe Wang. 2023-08-08. Partial Regularity of Navier-Stokes Equations. https://arxiv.org/abs/2308.04147

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