Analysis of Fluids and Related Topics: Vortex sheets in domains with boundary

Speaker: 
Helena Nussenzveig Lopes IM-UFRJ
Date: 
May 11 2017 - 4:30pm
Event type: 
Analysis of Fluids and Related Topics
Room: 
Fine Hall 322
Abstract: 

In this talk we consider the vanishing viscosity problem for incompressible fluid flow in a smooth, bounded domain. We are particularly concerned with the shear layer occurring near the boundary, a phenomenon which we explore in a few examples of flows with symmetry. We use this discussion as motivation for a framework for weak solutions of the inviscid equations which allow for exchange between circulation around the boundary and vorticity in the bulk of the fluid.