Navier-stokes equations - possible blow-up, self-similar solutions and backward uniqueness

"In this thesis we consider two problems for the Navier-Stokes equations. One problem is blow-up ratcys to solutions of the Navier-Stokes equation if a singularity exists at time T in the homogeneous periodic Sobolev spaces, in particular in the cases s = 3/2 and s = 5/2 where we prove the blow...