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

Series: 
PDE Seminar
Tuesday, January 21, 2014 - 15:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Shanghai Unversity
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].