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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| ifb_453.pdf | 245.15 kB | Adobe PDF | 見る/開く |
| タイトル: | A curve shortening equation with time-dependent mobility related to grain boundary motions |
| 著者: | Mizuno, Masashi Takasao, Keisuke    https://orcid.org/0000-0003-3837-6364 (unconfirmed) |
| 著者名の別形: | 水野, 将司 髙棹, 圭介 |
| キーワード: | 53C44 35R37 70G75 74N15 Grain boundary motion curve shortening equation weighted monotonicity formula |
| 発行日: | 2021 |
| 出版者: | European Mathematical Society (EMS) |
| 誌名: | Interfaces and Free Boundaries |
| 巻: | 23 |
| 号: | 2 |
| 開始ページ: | 169 |
| 終了ページ: | 190 |
| 抄録: | A curve shortening equation related to the evolution of grain boundaries is presented. This equation is derived from the grain boundary energy by applying the maximum dissipation principle. Gradient estimates and large time asymptotic behavior of solutions are considered. In the proof of these results, one key ingredient is a new weighted monotonicity formula that incorporates a time-dependent mobility. |
| 著作権等: | © 2021 European Mathematical Society Published by EMS Press This work is licensed under a Creative Commons Attribution 4.0 International license. |
| URI: | http://hdl.handle.net/2433/268000 |
| DOI(出版社版): | 10.4171/ifb/453 |
| 関連リンク: | https://ems.press/journals/ifb/articles/1890557 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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