The fattening phenomenon for level set solutions of the mean curvature flow

Level set solutions are an important class of weak solutions to the mean curvature flow which allow the flow to be extended past singularities. Unfortunately, when singularities do develop it is possible for the Hausdorff dimension of the level set solution to increase. This behaviour is referred to...

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Bibliographic Details
Main Author: Gavin, Colin Michael
Language:English
Published: University of British Columbia 2017
Online Access:http://hdl.handle.net/2429/61267