L∞ Stability for Weak Solutions of the Navier-Stokes Equations in R3 with Singular Initial Data in Morrey Spaces

On the regularity criterion for the solu

On the regularity criterion for the solutions of 3D Navier–Stokes equations in weak multiplier spaces

✍ Zaihong Jiang; Sadek Gala; Lidiao Ni 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 109 KB 👁 1 views

## Communicated by M. Costabel In this work, we improved the regularity criterion on the Cauchy problem for the Navier-Stokes equations in multiplier space in terms of the two partial derivatives of velocity fields, @ 1 u 1 and @ 2 u 2 .