A rate of convergence for the LANSα regularization of Navier–Stokes equations ✩

A rate of convergence of the solutions of the LANSα equations with periodic boundary to the solutions of the Navier–Stokes equations as α ↓ 0 is obtained in a mixed L1–L2 time– space norm for small initial data in Besov-type function spaces in which global existence and uniqueness of solutions can also be established.