|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
|
