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Hokkaido University Preprint Series in Mathematics >
CRYSTALLINE SURFACE DIFFUSION FLOW FOR GRAPH-LIKE CURVES
| Title: | CRYSTALLINE SURFACE DIFFUSION FLOW FOR GRAPH-LIKE CURVES |
| Authors: | GIGA, MI-HO Browse this author | | GIGA, YOSHIKAZU Browse this author |
| Issue Date: | 13-Jan-2022 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1142 |
| Start Page: | 1 |
| End Page: | 35 |
| Abstract: | This paper studies a fourth-order crystalline curvature ow for a curve represented by the graph of a spatially periodic function. This is a spe-
cial example of general crystalline surface diffusion flow. We consider a special class of piecewise linear functions and calculate its speed. We introduce notion of firmness and prove that the solution stays firm if initially it is firm at least for a short time. We also give an example that a facet (flat part) may split if the initial profile is not firm. Moreover, an example of facet-merging is given as well as several estimates for the speed of each facet. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/83816 |
| 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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