# Mean curvature flow without singularities

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Mariel Saez, Universidad Catolica de Chile
Fine Hall 214

Please note special day, time and location.  We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space. We obtain smooth long time existence. The projections of the evolving graphs also solve mean curvature flow. Hence this approach allows to smoothly flow through singularities by studying graphical mean curvature flow in one additional dimension.