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- W4283117816 abstract "We show that the discrete approximate volume preserving mean curvature flow in the flat torus $$mathbb {T}^N$$ starting near a strictly stable critical set E of the perimeter converges in the long time to a translate of E exponentially fast. As an intermediate result we establish a new quantitative estimate of Alexandrov type for periodic strictly stable constant mean curvature hypersurfaces. Finally, in the two dimensional case a complete characterization of the long time behaviour of the discrete flow with arbitrary initial sets of finite perimeter is provided." @default.
- W4283117816 created "2022-06-20" @default.
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- W4283117816 date "2023-02-24" @default.
- W4283117816 modified "2023-09-30" @default.
- W4283117816 title "Long time behaviour of the discrete volume preserving mean curvature flow in the flat torus" @default.
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- W4283117816 doi "https://doi.org/10.1007/s00526-023-02439-0" @default.
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