Abstract
We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.
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Penel, P., Pokorný, M. Some New Regularity Criteria for the Navier-Stokes Equations Containing Gradient of the Velocity. Applications of Mathematics 49, 483–493 (2004). https://doi.org/10.1023/B:APOM.0000048124.64244.7e
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DOI: https://doi.org/10.1023/B:APOM.0000048124.64244.7e