Blowup criterion for the strong solutions to 3D incompressible Navier-Stokes equations in BMO^{-s} spaces

Series
PDE Seminar
Time
Tuesday, January 21, 2014 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Jianli Liu – Shanghai Unversity
Organizer
Geng Chen
This talk gives a blowup criteria to the incompressible Navier-Stokes equations in BMO^{-s} on the whole space R^3, which implies the well-known BKM criteria and Serrin criteria. Using the result, we can get the norm of |u(t)|_{\dot{H}^{\frac{1}{2}}} is decreasing function. Our result can obtained by the compensated compactness and Hardy space result of [6] as well as [7].