论文标题
定期介质中相位过渡的各向异性表面张力
Anisotropic Surface Tensions for Phase Transitions in Periodic Media
论文作者
论文摘要
本文在周期性培养基中起作用的异质艾伦-CAHN能量在均质的表面张力上建立了界限。该方法基于将均质能量与纯粹的几何变异问题联系起来，该问题涉及符号距离函数的大规模行为与周期介质中的超平面行为。在此激励的情况下，证明了在周期性和几乎周期性介质中签名的距离函数的均匀化结果。
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.
