On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation
説明
We introduce a capillary Chambolle type scheme for mean curvature flow with prescribed contact angle. Our scheme includes a capillary functional instead of just the total variation. We show that the scheme is well-defined and has consistency with the energy minimizing scheme of Almgren-Taylor-Wang type. Moreover, for a planar motion in a strip, we give several examples of numerical computation of this scheme based on the split Bregman method instead of a duality method.
収録刊行物
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 1150 1-28, 2023-05-23
Department of Mathematics, Hokkaido University
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詳細情報 詳細情報について
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- CRID
- 1390859293124261504
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- DOI
- 10.14943/107640
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- HANDLE
- 2115/89346
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- JaLC
- IRDB
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- 抄録ライセンスフラグ
- 使用可