The arrival time for mean curvature flow on a convex domain
Author(s)Strehlke, Nicholas(Nicholas Brian)
Massachusetts Institute of Technology. Department of Mathematics.
Tobias H. Colding.
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We give asymptotics for the level set equation for mean curvature flow on a convex domain near the point where it attains a maximum. It was shown by Natasa Sesum that solutions are not necessarily C³, and we recover this result and construct non-smooth solutions which are C³. We also construct solutions having prescribed behavior near the maximum. We do this by analyzing the asymptotics for rescaled mean curvature flow converging to a stationary sphere.
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019Cataloged from PDF version of thesis.Includes bibliographical references (pages 65-67).
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology