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.
Analysis of Fluids and Related Topics: Vortex sheets in domains with boundary
Helena Nussenzveig Lopes IM-UFRJ
May 11 2017 - 4:30pm
Analysis of Fluids and Related Topics
Fine Hall 322