Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows

Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows

In this paper 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.

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Veröffentlicht in:Communications in partial differential equations 2008-03, Vol.33 (3), p.419-428
Hauptverfasser: Cao, Chongsheng, Qin, Junlin, Titi, Edriss S.
Format: Artikel
Sprache:eng
Schlagworte:
Regularity criterion
Three-dimensional Navier-Stokes equations
Turbulent channel flows
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Zusammenfassung:In this paper 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.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605300701454859