On the dimension of the Navier-Stokes singular set

Series
School of Mathematics Colloquium
Time
Thursday, March 26, 2009 - 11:00am for 1 hour (actually 50 minutes)
Location
Skiles 269
Speaker
Walter Craig – McMaster University
Organizer
Guillermo Goldsztein
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.