Partial Regularity of Navier-Stokes Equations

Lihe Wang

doi:10.48550/arxiv.2308.04147

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Partial Regularity of Navier-Stokes Equations

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Partial Regularity of Navier-Stokes Equations

Lihe Wang

ArXiv.org

08/08/2023

DOI: 10.48550/arxiv.2308.04147

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https://doi.org/10.48550/arxiv.2308.04147View

Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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.

Mathematics - Analysis of PDEs

Details

Title: Subtitle: Partial Regularity of Navier-Stokes Equations
Creators: Lihe Wang
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.2308.04147
ISSN: 2331-8422
Language: English
Date posted: 08/08/2023
Academic Unit: Mathematics
Record Identifier: 9984453202302771

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