Geodesic
Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity
Applications of Mathematics, Tome 49 (2004) no. 5, pp. 483-493.

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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.
DOI : 10.1023/B:APOM.0000048124.64244.7e
Classification : 35B65, 35Q30, 35Q35, 76D03, 76D05
Keywords: Navier-Stokes equations; regularity of systems of PDE’s 
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     title = {Some new regularity criteria for the {Navier-Stokes} equations containing gradient of the velocity},
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Penel, Patrick; Pokorný, Milan. Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity. Applications of Mathematics, Tome 49 (2004) no. 5, pp. 483-493. doi : 10.1023/B:APOM.0000048124.64244.7e. http://geodesic.mathdoc.fr/articles/10.1023/B:APOM.0000048124.64244.7e/

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