Remarks on interior regularity criteria without pressure for the Navier-Stokes equations

In this note we investigate interior regularity criteria for suitable weak solutions to the 3D Naiver-Stokes equations, and obtain the solutions are regular in the interior if the LtpLxq(Q1) norm of the velocity is sufficiently small, where 1≤2p+3q2 by Kwon [15], and also generalizes Chae-Wolf'...

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Bibliographic Details
Published in:Journal of Differential Equations 2024-07, Vol.397, p.80-105
Main Authors: Li, Shuai, Wang, Wendong, Zhou, Daoguo
Format: Article
Language:English
Subjects:
Interior regularity
Navier-Stokes equations
Suitable weak solutions
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Summary:In this note we investigate interior regularity criteria for suitable weak solutions to the 3D Naiver-Stokes equations, and obtain the solutions are regular in the interior if the LtpLxq(Q1) norm of the velocity is sufficiently small, where 1≤2p+3q2 by Kwon [15], and also generalizes Chae-Wolf's Lt∞Lx32+ criterion [3].
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2024.03.006