The free-boundary Brakke flow

The free-boundary Brakke flow

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Nick Edelen , MIT
Fine Hall 314

A surface has geometric free-boundary if it meets some barrier hypersurface orthogonally, like a bubble on a bathtub.  We extend Brakke's weak notion of mean curvature flow to have a free-boundary condition, which allows the surface to ``pop'' upon tangential contact with the barrier.