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Communications in Partial Differential Equations

Volume 33, Issue 3, 2008

Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows

Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows

DOI:
10.1080/03605300701454859
Chongsheng Caoa, Junlin Qinb & Edriss S. Titicd*

pages 419-428

Available online: 03 Mar 2008

Abstract

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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Mathematics Subject Classification

 

Details

  • Citation information:
  • Available online: 03 Mar 2008

Author affiliations

  • a Department of Mathematics, Florida International University, University Park, Miami, Florida, USA
  • b Department of Mathematics, Xian Jiaotong University, Xian, Shaanxi, China
  • c Department of Mathematics and Department of Mechanical and Aerospace Engineering, University of California, Irvine, California, USA
  • d Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot, Israel

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