CRYSTALLINE SURFACE DIFFUSION FLOW FOR GRAPH-LIKE CURVES

GIGA, MI-HO; GIGA, YOSHIKAZU

Hokkaido University Preprint Series in Mathematics, 2022, 1142, 1-35

Permalink : https://doi.org/10.14943/100842

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アクセス権	open access
DOI	https://doi.org/10.14943/100842
URI	https://hdl.handle.net/2115/83816
タイトル	CRYSTALLINE SURFACE DIFFUSION FLOW FOR GRAPH-LIKE CURVES
著者	著者名 GIGA, MI-HO
著者	著者名 GIGA, YOSHIKAZU
言語	英語
発行日	2022-01-13
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1142
ページ	1-35
抄録	This paper studies a fourth-order crystalline curvature ow for a curve represented by the graph of a spatially periodic function. This is a spe- cial example of general crystalline surface diffusion flow. We consider a special class of piecewise linear functions and calculate its speed. We introduce notion of firmness and prove that the solution stays firm if initially it is firm at least for a short time. We also give an example that a facet (flat part) may split if the initial profile is not firm. Moreover, an example of facet-merging is given as well as several estimates for the speed of each facet.
資源タイプ	紀要論文
出版タイプ	Version of Record