Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Date: 12/12/2006
Lecturer(s):
Alexis Vasseur (University of Texas )
Location:
University of British Columbia
Topic:
The critical dissipative quasi-geostrophic equation was proposed by
several authors as a toy model to study the regularity of solutions to
3D Navier-Stokes equations. In this work, in collaboration with L.
Caffarelli, we prove that drift-diffusion equatons with L2 initial data
and minimal assumptions on the drift are locally Holder continuous. As
an application we show that solutions of the quasi-geostrophic equation
with initial L2 data and critical diffusion (-Delta)^{1/2}, are locally
smooth for any space dimension.
Other Information:
DG-MP-PDE Seminar 2006
Sponsor:
