Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows

DOI10.1080/03605300701454859zbMath1151.76012arXivmath/0609667OpenAlexW1977015737MaRDI QIDQ5459784

Edriss S. Titi, Junlin Qin, Chongsheng Cao

Publication date: 29 April 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609667

zbMATH Keywords

three-dimensional Navier-Stokes equationsregularity criterionturbulent channel flows

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fundamentals of turbulence (76F02)

Related Items (13)

On the regularity criteria for liquid crystal flows involving the gradient of one velocity component ⋮ Regularity criterion for solutions to the three-dimensional Navier-Stokes equations in the turbulent channel ⋮ Regularity issue of the Navier-Stokes equations involving the combination of pressure and velocity field ⋮ Remarks on regularity criteria for the 3d Navier-Stokes equations ⋮ Blow-up criteria of the simplified Ericksen-Leslie system ⋮ Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations ⋮ Regularity criteria in terms of the pressure for the three-dimensional MHD equations ⋮ On 3D MHD equations with regularity in one directional derivative of the velocity ⋮ A regularity criterion for the Navier-Stokes equations in the multiplier spaces ⋮ Two regularity criteria for the 3D MHD equations ⋮ The 3D Boussinesq equations with regularity in one directional derivative of the pressure ⋮ On the regularity criterion for the Navier-Stokes equations involving the diagonal entry of the velocity gradient ⋮ Conditional regularity of solutions of the three-dimensional Navier-Stokes equations and implications for intermittency

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