On the regularity criterion for the Navier-Stokes equations involving the diagonal entry of the velocity gradient

DOI10.1016/j.na.2015.04.005zbMath1318.35069OpenAlexW600296335MaRDI QIDQ2349034

Xian Yang, Zujin Zhang

Publication date: 16 June 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.04.005

zbMATH Keywords

Navier-Stokes equationsregularity criterion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (3)

Some new multiplicative Sobolev inequalities with applications to the Navier–Stokes equations ⋮ Regularity criteria for weak solutions of the magneto-micropolar equations ⋮ Several new regularity criteria for the axisymmetric Navier-Stokes equations with swirl

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