摘要

In this article, we prove new regularity criteria of the Prodi-Serrin-Ladyzhenskaya type for the Cauchy problem of the three-dimensional incompressible Navier-Stokes equations. Our results improve the classical L-r (0, T; L-s) regularity criteria for both velocity and pressure by factors of certain negative powers of the scaling invariant norms parallel to u parallel to(L3) and parallel to u parallel to((H) over dot1/2). Published by AIP Publishing.

  • 出版日期2017-1