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A numerical study of anisotropic crystal growth with bunching under very singular vertical diffusion

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83736

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
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

Submitter: 数学紀要登録作業用

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