On the dimension of the Navier-Stokes singular set

School of Mathematics Colloquium
Thursday, March 26, 2009 - 11:00
1 hour (actually 50 minutes)
Skiles 269
McMaster University
A new estimate on weak solutions of the Navier-Stokes equations in three dimensions gives some information about the partial regularity of solutions. In particular, if energy concentration takes place, the dimension of the microlocal singular set cannot be too small. This estimate has a dynamical systems proof. These results are joint work with M. Arnold and A. Biryuk.