抄録
We study a singular limit problem of the Allen–Cahn equation with a homogeneous Neumann boundary condition on non-convex domains with smooth boundaries under suitable assumptions for initial data. The main result is the convergence of the time parametrized family of the diffused surface energy to Brakke’s mean curvature flow with a generalized right angle condition on the boundary of the domain.
本文言語 | 英語 |
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ページ(範囲) | 1485-1528 |
ページ数 | 44 |
ジャーナル | Mathematische Annalen |
巻 | 373 |
号 | 3-4 |
DOI | |
出版ステータス | 出版済み - 4月 1 2019 |
!!!All Science Journal Classification (ASJC) codes
- 数学 (全般)