Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations

摘要

The incompressible and viscous fluid motion, governed by the evolutionary Navier-Stokes equations, is studied focusing on the application of Morrey space techniques to the interior regularity problem first posed by Serrin (1962 Arch. Rational Mech. Anal. 9 187-95) and later by Struwe (1988 Commun. Pure Appl. Math. 41 437-58). A new interior regularity criterion is derived within the framework of Morrey spaces, which contain L-p(L-q) spaces used in the previously quoted references. [References: 31]