TIME-DEPENDENT SINGULARITIES IN THE NAVIER-STOKES SYSTEM

We show that, for a given Holder continuous curve in {(gamma(t), t) : t > 0} subset of R-3 x R+, there exists a solution to the Navier-Stokes system for an incompressible fluid in R-3 which is regular outside this curve and singular on it. This is a solution of the homogeneous system outside the curve, however, as a distributional solution on R-3 x R+, it solves an analogous Navier-Stokes system with a singular force concentrated on the curve.