Helena Nussenzveig Lopes : Vortex sheets in domains with boundary

Posted by Mimi Dai , part of the Analysis and Applied Mathematics Seminar.

At

May 4, 2017, 4 p.m.

In

SEO 427

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.