|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation
| Title: | On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation |
| Authors: | Eto, Tokuhiro Browse this author | | Giga, Yoshikazu Browse this author →KAKEN DB |
| Keywords: | Mean curvature flow | | Contact angle problem | | Capillary functional | | Split Bregman method | | Chambolle’s scheme |
| Issue Date: | 23-May-2023 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1150 |
| Start Page: | 1 |
| End Page: | 28 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/89346 |
| 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
|
