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On the dynamics of crystalline motions

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83482

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
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

Submitter: 数学紀要登録作業用

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