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A numerical study of anisotropic crystal growth with bunching under very singular vertical diffusion
| Title: | A numerical study of anisotropic crystal growth with bunching under very singular vertical diffusion |
| Authors: | Tsai, Y. Browse this author | | Giga, Y. Browse this author |
| Issue Date: | Apr-2003 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 591 |
| Start Page: | 1 |
| End Page: | 9 |
| Abstract: | We study numerically the anisotropic bunching effect in crystal growth under curvature and a singular vertical diffusive regularization. Our assumption is that the mobility of the growth depends on the height of the given crystal. This assumption may result in overhanging crystals if approached in a naive way. Instead, we embed the profile of the crystal as the zero level set of a continuous function and study the corresponding level set evolution. To prevent "overhanging", we regularize the equation with a singular diffusion that vanishes everywhere except at the fonnation of "overhanging". In addition, we add the mean curvature regularization to keep the convexity of the level sets. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69340 |
| 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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