Higher derivatives estimate for the 3D Navier-Stokes equation

Details Higher derivatives estimate for the 3D Navier-Stokes equation Higher derivatives estimate for the 3D Navier-Stokes equation

2009-04-16

arxiv.org/abs/0904.2422v1

Mathematics

Analysis of PDEs

21 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Higher derivatives estimate for the 3D Navier-Stokes equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Higher derivatives estimate for the 3D Navier-Stokes equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher derivatives estimate for the 3D Navier-Stokes equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-464485