Local existence and uniqueness of Prandtl equations

Monday, February 4, 2013 -
3:15pm to 4:15pm
The Prandtl equations, which describe the boundary layer behavior of a viscous incompressible fluid near the physical wall, play an important role in the zero-viscosity limit of Navier-Stokes equations. In this talk we will discuss the local-in-time existence and uniqueness for the Prandtl equations in weighted Sobolev spaces under the Oleinik's monotonicity assumption. The proof is based on weighted energy estimates, which come from a new type of nonlinear cancellations between velocity and vorticity.
Speaker: 
Tak Kwong Wong
University of Pennsylvania
Event Location: 
Fine Hall 314