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A Phase-Field Approximation of the Willmore Flow with Volume and Area Constraints

✍ Scribed by Colli, Pierluigi; Laurençot, Philippe

Book ID
118120225
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
267 KB
Volume
44
Category
Article
ISSN
0036-1410

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✍ M. Brassel; E. Bretin 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 529 KB

This paper is concerned with the motion of a time-dependent hypersurface \* (t) in R d that evolves with a normal velocity where j is the mean curvature of \*X(t), and g is an external forcing term. Phase field approximation of this motion leads to the Allen-Cahn equation where is an approximation