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JOURNAL OF MATHEMATICAL PHYSICS
Volume 52, Issue 5, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3589966
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We consider the regularity criteria for a weak solution u = (u(1), u(2), u(3)) to the Navier-Stokes equations in R-3. Denoting by omega = (omega(1), omega(2), omega(3)) = curl u the vorticity, we then prove that u is smooth, provided u(3), omega(3); or partial derivative(3)u(3), omega(3) are in some Serrin-type integrability classes. (C) 2011 American Institute of Physics. [doi:10.1063/1.3589966]
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