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Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84039

Title: Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term
Authors: Giga, Yoshikazu Browse this author
Rybka, Piotr Browse this author
Keywords: singular energies
bending of facets
driven curvature flow
variational principle
Issue Date: 9-Jan-2008
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 889
Start Page: 1
End Page: 37
Abstract: We study crystalline driven curvature flow with spatially nonuniform driving force term. e assume special monotonicity properties of the driving term, which are motivated by ur previous work on Berg’s effect. We consider special initial data which we call ‘bent ectangles’. We prove existence of solutions for a generic forcing term as well as generic ubclass of bent rectangles. We show the initially flat facets may begin to bend, provided, oosely speaking, they are too large. Moreover, depending on the initial configuration we otice instantaneous loss of regularity of the moving curve.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69698
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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