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arXiv 1110.4342math.DG
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各向异性表面能的稳定封闭平衡:有棱的表面

Stable closed equilibria for anisotropic surface energies: Surfaces with edges

Bennett Palmer

摘要:

我们研究的稳定性封闭,不一定光滑,平衡表面的各向异性表面能的武尔夫形状不一定是光滑的。我们表明,如果Cahn Hoffman场可以连续扩展到整个表面,如果表面是稳定的,那么该表面是,到重新缩放,武尔夫形状。

英文摘要:

We study the stability of closed, not necessarily smooth, equilibrium surfaces of an anisotropic surface energy for which the Wulff shape is not necessarily smooth. We show that if the Cahn Hoffman field can be extended continuously to the whole surface and if the surface is stable, then the surface is, up to rescaling, the Wulff shape.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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