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Research Article | Open Access

Regularity criteria for the 3D generalized Navier-Stokes equations with nonlinear damping term

School of Mathematical Science, Zhejiang Normal University, 321004, Jinhua, China
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Abstract

This paper was devoted to establishing some regularity criteria for the 3D generalized Navier-Stokes equations with nonlinear damping term. We focused on considering the role of the damping term in regularity criteria and the global existence brought by these criteria.

Keywords

Navier-Stokes equationsnonlinear damping termregularity criteria
CLC number: 35B65, 76W05, 35Q35

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AIMS Mathematics
Volume 9 Issue 6,
May 2024
Pages 16250-16259
DOI: 10.3934/math.2024786

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Cite this article:
Wu J. Regularity criteria for the 3D generalized Navier-Stokes equations with nonlinear damping term. AIMS Mathematics, 2024, 9(6): 16250-16259. https://doi.org/10.3934/math.2024786

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Received: 17 January 2024
Revised: 08 April 2024
Accepted: 08 April 2024
Published: 08 May 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)