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Hokkaido University Preprint Series in Mathematics >
EXISTENCE OF WEAK SOLUTION FOR VOLUME PRESERVING MEAN CURVATURE FLOW VIA PHASE FIELD METHOD
| Title: | EXISTENCE OF WEAK SOLUTION FOR VOLUME PRESERVING MEAN CURVATURE FLOW VIA PHASE FIELD METHOD |
| Authors: | Takasao, Keisuke Browse this author |
| Issue Date: | 12-Nov-2015 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1080 |
| Start Page: | 1 |
| End Page: | 16 |
| Abstract: | We study the phase eld method for the volume preserving mean curvature flow. Given an initial C1 hypersurface we proved the existence of the weak solution for the volume preserving mean curvature ow via the reaction diffusion equation with a nonlocal term. We also show the monotonicity formula and the density upper bound for the reaction diffusion equation. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69884 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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