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Hokkaido University Preprint Series in Mathematics >
A level set method for spiral crystal growth
| Title: | A level set method for spiral crystal growth |
| Authors: | Ohtsuka, T. Browse this author |
| Issue Date: | May-2002 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 551 |
| Start Page: | [1] |
| Abstract: | In this paper we introduce a new level set model for the growth of spirals on the surface of a crystal. Since the conventional level set method cannot express a spiral curve having orientation, we modify the level set method by using a sheet structure function. Since the model equation we obtain is degenerate parabolic, we need to consider a notion of weak solution. Our goal is to prove the existence and the uniqueness of the solution for our model in the sence of viscosity solutions. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69300 |
| 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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