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An almost Serrin-type regularity criterion for the Navier–Stokes equations involving the gradient of one velocity component

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Abstract

This paper concerns about the Cauchy problem for the three-dimensional Navier–Stokes equations and provides a regularity criterion in terms of the gradient of one velocity component. This improves previous results.

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  1. School of Mathematics and Computer Sciences, Gannan Normal University, Ganzhou, 341000, Jiangxi, People’s Republic of China

    Zujin Zhang

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  1. Zujin Zhang
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Zhang, Z. An almost Serrin-type regularity criterion for the Navier–Stokes equations involving the gradient of one velocity component. Z. Angew. Math. Phys. 66, 1707–1715 (2015). https://doi.org/10.1007/s00033-015-0500-7

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  • DOI: https://doi.org/10.1007/s00033-015-0500-7

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