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Mean curvature flow with free boundary – Type 2 singularities |
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| Authors: | Glen Wheeler Valentina-Mira Wheeler |
| Institution: | Institute for Mathematics and its Applications, University of Wollongong, Northfields Avenue, Wollongong, NSW, 2522 Australia |
| Abstract: | In this paper we give sufficient conditions that guarantee the mean curvature flow with free boundary on a pinched cylinder develops a Type 2 curvature singularity. We additionally prove that Type 0 singularities may only occur at infinity. |
| Keywords: | free boundary conditions geometric analysis mean curvature flow minimal surfaces 53C44 58J35 |