Convergence of an Algorithm for the Anisotropic and Crystalline Mean Curvature Flow
β Scribed by Chambolle, Antonin; Novaga, Matteo
- Book ID
- 118198543
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2006
- Tongue
- English
- Weight
- 187 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0036-1410
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## Abstract We study the flow __M~t~__ of a smooth, strictly convex hypersurface by its mean curvature in β^__n__ + 1^. The surface remains smooth and convex, shrinking monotonically until it disappears at a critical time __T__ and point __x__^\*^ (which is due to Huisken). This is equivalent to sa
## Abstract A new method for solution of the evolution of plane curves satisfying the geometric equation __v__=__Ξ²__(__x,k,Ξ½__), where __v__ is the normal velocity, __k__ and __Ξ½__ are the curvature and tangential angle of a plane curve Ξ β β^2^ at the point __x__βΞ, is proposed. We derive a govern