The regularity criterion for 3D Navier–Stokes equations involving one velocity gradient component

Navier Stokes Equations: Theory and Numerical Analysis

Roger Témam, Alexandre J. Chorin · Journal of Applied Mechanics · 1978 · 4K citations

Numerical Analysis, Compressible Flow, Engineering +10

On the regularity of the solutions of the Navier–Stokes equations via one velocity component

Yong Zhou, Milan Pokorný · Nonlinearity · 2010 · 201 citations

Compressible Flow, Elliptic Equation, Engineering +8

Global Regularity Criterion for the 3D Navier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor

Chongsheng Cao, Edriss S. Titi · Archive for Rational Mechanics and Analysis · 2011 · 192 citations · Full text

Numerical Analysis, Engineering, Geometric Partial Differential Equation +6

Regularity criteria for the three-dimensional Navier-Stokes equations

Chongsheng Cao, Edriss S. Titi · Indiana University Mathematics Journal · 2008 · 186 citations

Three-dimensional Navier-stokes Equations, Engineering, Incompressible Flow +7

One component regularity for the Navier–Stokes equations

Igor Kukavica, Mohammed Ziane · Nonlinearity · 2005 · 153 citations

Engineering, Fluid Mechanics, Component Regularity +5