The arrival time for mean curvature flow on a convex domain

Author(s)
Strehlke, Nicholas(Nicholas Brian)
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Massachusetts Institute of Technology. Department of Mathematics.
Advisor
Tobias H. Colding.
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MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission. http://dspace.mit.edu/handle/1721.1/7582
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Abstract
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.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019
 
Cataloged from PDF version of thesis.
 
Includes bibliographical references (pages 65-67).
 
Date issued
2019
URI
https://hdl.handle.net/1721.1/122169
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.
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