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Mean curvature flow by the Allen-Cahn equation
- Authors
- Lee, D. S.; Kim, J. S.
- Issue Date
- 8월-2015
- Publisher
- CAMBRIDGE UNIV PRESS
- Keywords
- motion by mean curvature; Allen-Cahn equation; contact angle condition
- Citation
- EUROPEAN JOURNAL OF APPLIED MATHEMATICS, v.26, pp.535 - 559
- Indexed
- SCIE
SCOPUS
- Journal Title
- EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- Volume
- 26
- Start Page
- 535
- End Page
- 559
- ISSN
- 0956-7925
- Abstract
- In this paper, we investigate motion by mean curvature using the Allen-Cahn (AC) equation in two and three space dimensions. We use an unconditionally stable hybrid numerical scheme to solve the equation. Numerical experiments demonstrate that we can use the AC equation for applications to motion by mean curvature. We also study the curve-shortening flow with a prescribed contact angle condition.
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