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On the dynamics of crystalline motions
| Title: | On the dynamics of crystalline motions |
| Authors: | Giga, Y. Browse this author | | Gurtin, M.E Browse this author | | Matias, J. Browse this author |
| Keywords: | phase transitions | | curvature flows | | crystalline energies | | interfaces | | comparison theorems |
| Issue Date: | 1-May-1996 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 336 |
| Start Page: | 1 |
| End Page: | 67 |
| Abstract: | Solids can exist in polygonal shapes with boundaries unions of flat -pieces· called· facets. Analyzing the- growth -of such crystalline shapes is an important problem in materials science. In this paper we derive equations that govern the evolution of such shapes; we formulate the corresponding initial-value problem variationally; and we use this formulation to establish a comparison principle for crystalline evolutions. This principle asserts that two evolving crystals one initially inside the other will remain in that configuration for all time. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69086 |
| 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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