A remark on the regularity criterion for the Navier–Stokes equations in terms of one directional derivative of the velocity

In this paper we consider the incompressible Navier–Stokes equations in the whole three dimensional space. We present a regularity criterion in terms of one directional derivative of the velocity, which is an improvement of known results.

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Publication Details

Journal
Nonlinear Analysis Real World Applications
Published
2025-06-21
DOI
https://doi.org/10.1016/j.nonrwa.2025.104437
Citations
1
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
3.73

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article

A remark on the regularity criterion for the Navier–Stokes equations in terms of one directional derivative of the velocity

Zdenek Skalak
1 citations
Nonlinear Analysis Real World Applications
Navier-Stokes equation solutions
3.73
article

A remark on the regularity criterion for the Navier–Stokes equations in terms of one directional derivative of the velocity

Zdenek Skalak
article en
1 citations

Abstract

In this paper we consider the incompressible Navier–Stokes equations in the whole three dimensional space. We present a regularity criterion in terms of one directional derivative of the velocity, which is an improvement of known results.

Nonlinear Analysis Real World ApplicationsVol. 87
Czech Technical University in Prague (CZ)
European Regional Development Fund
Openalex Percentile: Top 9%
Navier-Stokes equation solutions
3.73
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A remark on the regularity criterion for the Navier–Stokes equations in terms of one directional derivative of the velocity — Zdenek Skalak · Nonlinear Analysis Real World Applications (2025) | TGRS Research Map | TGRS