| dc.contributor.advisor | Tobias H. Colding. | en_US |
| dc.contributor.author | Strehlke, Nicholas(Nicholas Brian) | en_US |
| dc.contributor.other | Massachusetts Institute of Technology. Department of Mathematics. | en_US |
| dc.date.accessioned | 2019-09-16T22:34:01Z | |
| dc.date.available | 2019-09-16T22:34:01Z | |
| dc.date.copyright | 2019 | en_US |
| dc.date.issued | 2019 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1721.1/122169 | |
| dc.description | Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019 | en_US |
| dc.description | Cataloged from PDF version of thesis. | en_US |
| dc.description | Includes bibliographical references (pages 65-67). | en_US |
| dc.description.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. | en_US |
| dc.description.statementofresponsibility | by Nicholas Strehlke. | en_US |
| dc.format.extent | 67 pages ; | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Massachusetts Institute of Technology | en_US |
| dc.rights | 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. | en_US |
| dc.rights.uri | http://dspace.mit.edu/handle/1721.1/7582 | en_US |
| dc.subject | Mathematics. | en_US |
| dc.title | The arrival time for mean curvature flow on a convex domain | en_US |
| dc.type | Thesis | en_US |
| dc.description.degree | Ph. D. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.identifier.oclc | 1117775163 | en_US |
| dc.description.collection | Ph.D. Massachusetts Institute of Technology, Department of Mathematics | en_US |
| dspace.imported | 2019-09-16T22:34:01Z | en_US |
| mit.thesis.degree | Doctoral | en_US |
| mit.thesis.department | Math | en_US |
