On the regularity criterion for the Navier–Stokes equations in terms of one directional derivative

DOI10.1142/S1793557117500127zbMath1364.35237MaRDI QIDQ2979771

Maria Alessandra Ragusa, Saddek Gala

Publication date: 26 April 2017

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsweak solutionsregularity criterionBMO space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Direct numerical and large eddy simulation of turbulence (76F65) Weak solutions to PDEs (35D30)

Related Items (6)

A note on global existence of strong solution to the 3D micropolar equations with a damping term ⋮ A regularity criterion for the 3D Boussinesq equations ⋮ Regularity criterion for weak solutions to the Navier-Stokes involving one velocity and one vorticity components ⋮ The anisotropic regularity criteria for 3D Navier-Stokes equations involving one velocity component ⋮ Regularity criteria via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equations ⋮ Decay and the asymptotic behavior of solutions to the 3D incompressible Navier-Stokes equations with damping

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