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Zbl 1151.76012
Cao, Chongsheng; Qin, Junlin; Titi, Edriss S.
Regularity criterion for solutions of three-dimensional turbulent channel flows. (English)
[J] Commun. Partial Differ. Equations 33, No. 3, 419-428 (2008). ISSN 0360-5302; ISSN 1532-4133/e

Summary: We consider the three-dimensional Navier-Stokes equations in infinite channel. We provide a regularity criterion for solutions of the three-dimensional Navier-Stokes equations in terms of the vertical component of the velocity field.
MSC 2000:
*76F02 Fundamentals
35B65 Smoothness of solutions of PDE
35Q35 Other equations arising in fluid mechanics
76D03 Existence, uniqueness, and regularity theory
76D05 Navier-Stokes equations (fluid dynamics)

Keywords: regularity criterion; three-dimensional Navier-Stokes equations; turbulent channel flows

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