
Date Time 
Location  Speaker 
Title – click for abstract 

08/28 3:00pm 
BLOC 628 
Alexis Vasseur University of Texas 
Nonlinear PDE Seminar
Title: The 3D Quasigeostrophic equation: existence of solutions, lateral boundary conditions and regularity.
Abstract: The 3D Quasigeostropic equation is a model used in climatology to model the evolution of the atmosphere for small Rossby numbers. It can be derived from the primitive equation. The surface quasigeostrophic equation (SQG) is a special case where the atmosphere above the earth is at rest. The evolution then depends only on the boundary condition, and can be reduced to a 2D model.
In this talk, we will show how we can derive the physical lateral boundary conditions for the inviscid 3D QG, and construct global in time weak solutions. Finally, we will discuss the global regularity of solutions to the QG equation with Ekman pumping. 

09/07 1:50pm 
BLOC 628 
Irene Gamba University of Texas 
TBA 

09/25 3:00pm 
BLOC 628 
Anna Mazzucato Penn State University 
Title: On the vanishing viscosity limit in incompressible flows
Abstract: I will discuss recent results on the analysis of the vanishing viscosity limit, that is, whether solutions of the NavierStokes equations converge to solutions of the Euler equations, for incompressible fluids when walls are present. At small viscosity, a viscous boundary layer arise near the walls where large gradients of velocity and vorticity may form and propagate in the bulk (if the boundary layer separates). A rigorous justification of Prandtl approximation, in absence of analyticity or monotonicity of the data, is available essentially only in the linear or weakly linear regime under noslip boundary conditions. I will present in particular a detailed analysis of the boundary layer for an Oseentype equation (linearization around a steady Euler flow) in general smooth domains.


11/13 3:00pm 
BLOC 628 
Hakima Bessaih University of Wyoming 
TBA 