  In this article, a non linear family of spaces, based on the energy
dissipation, is introduced. This family bridges an energy space (containing
weak solutions to Navier-Stokes equation) to a critical space (invariant
through the canonical scaling of the Navier-Stokes equation). This family is
used to get uniform estimates on higher derivatives to solutions to the 3D
Navier-Stokes equations. Those estimates are uniform, up to the possible
blowing-up time. The proof uses blow-up techniques. Estimates can be obtained
by this means thanks to the galilean invariance of the transport part of the
equation.
