Jim Kelliher (UC Riverside): Title: Does the vanishing viscosity limit hold? A classical constant-viscosity incompressible fluid is modeled by the Navier-Stokes equations, derived by Navier in 1821 and refined by Stokes in the 1840s. Dropping the term that incorporates the effect of viscosity yields the Euler equations, derived by Euler much earlier in 1757. Despite the age of the equations, it is still not known whether solutions to the Navier-Stokes equations converge to that of the Euler equations as the viscosity vanishes when the fluids are interacting with a boundary. In these talks I will focus on the central problem of the theory: a fluid contained in a fixed domain with the velocity of the Navier-Stokes solution vanishing on the boundary. To keep things simple, I will consider only 2D fluids, though most of what I present applies as well to higher dimensions. In the first talk, I will give some of the basic background needed to appreciate the problem. In the second talk I will present some recent results on the problem.