ANISOTROPIC SURFACE TENSIONS FOR PHASE TRANSITIONS IN PERIODIC MEDIA
ANISOTROPIC SURFACE TENSIONS FOR PHASE TRANSITIONS IN PERIODIC MEDIA
复制标题
周期性介质中相变的各向异性表面张力
DOI：
10.1007/s00526-022-02216-5
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发表时间：
2022
影响因子：
2.1
通讯作者：
VENKATRAMAN, R.
中科院分区：
文献类型：
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作者：
CHOKSI, R.;FONSECA, I.;LIN, J.;VENKATRAMAN, R.
本文建立了周期介质中非均匀Allen-Cahn能量泛函的均匀表面张力的界。该方法是基于有关的均匀化的能量，一个纯粹的几何变分问题，涉及大规模的行为的签署的距离函数的超平面在周期性介质。受此启发，均匀化结果的符号距离函数的超平面在周期性和几乎周期性介质中被证明。
This paper establishes bounds on the homogenized surface tension for a heterogeneous Allen-Cahn energy functional in a periodic medium. The approach is based on relating the homogenized energy to a purely geometric variational problem involving the large scale behaviour of the signed distance function to a hyperplane in periodic media. Motivated by this, a homogenization result for the signed distance function to a hyperplane in both periodic and almost periodic media is proven.