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Direction of vorticity and a new regularity criterion for the Navier-Stokes equations. (English) Zbl 1072.35565
A new regularity criterion in terms of the direction of vorticity for a Leray-Hopf weak solution to the Navier-Stokes equations is given.

MSC:
35Q30 Navier-Stokes equations
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
35B65 Smoothness and regularity of solutions to PDEs
76D05 Navier-Stokes equations for incompressible viscous fluids
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[1] DOI: 10.1007/s00208-003-0478-x · Zbl 1054.35062
[2] Zhou, Methods Appl. Anal. 9 pp 563– (2002)
[3] von Wahl, The equations of Navier-Stokes and abstract parabolic equations (1985) · Zbl 0575.35074
[4] DOI: 10.1002/cpa.3160350604 · Zbl 0509.35067
[5] Hopf, Math. Nachr. 4 pp 213– (1951) · Zbl 0042.10604
[6] DOI: 10.1512/iumj.1993.42.42034 · Zbl 0837.35113
[7] Leray, J. Math. Pures. Appl. 12 pp 1– (1933)
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