The arrival time for mean curvature flow on a convex domain
Name
1117775163-MIT.pdf
Size
2.84 MB
Format
Adobe PDF
Checksum (MD5)
884e05b1aadc5c29bc42d48fed64bbfa
Author(s)
Strehlke, Nicholas(Nicholas Brian)
Advisor(s)
Tobias H. Colding.
Date Issued
2019
Publisher
Massachusetts Institute of Technology
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).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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