Recent results on regularity for the Navier-Stokes equations
Local in time smooth solutions for the Navier-Stokes equations have not been known to persist for a long time. There have been several conditions which assure the persistence, for example, Serrin's conditions, etc... In this talk, we deal with some of the variants of Serrin's conditions and its axisymmetric version. Furthermore, we deal with the existence in a weighted space.
Namkwon Kim, CMAF, Universidade de Lisboa, Portugal and University of Seoul, Korea
January 28, 2000