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Navier–Stokes Regularity Criteria in Vishik Spaces

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Abstract

In this paper, we consider the conditional regularity for the 3D incompressible Navier–Stokes equations in Vishik spaces in terms of only two components of the vorticity vector, or scalar pressure. These results will be regarded an improvement of the results given by Zhang–Chen (J Differ Equ 216(2):470–481, 2005), Fan–Jiang–Ni (J Differ Equ 244(11):2963–2979, 2008) and Kanamaru (J Evol Equ 1–17, 2020).

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Acknowledgements

The author would like to acknowledge his sincere thanks to the editor and the referees for a careful reading of the manuscript and many valuable comments and suggestions.

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  1. Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of China

    Fan Wu

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Correspondence to Fan Wu.

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Wu, F. Navier–Stokes Regularity Criteria in Vishik Spaces. Appl Math Optim 84 (Suppl 1), 39–53 (2021). https://doi.org/10.1007/s00245-021-09757-9

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