A singular perturbation limit of diffused interface energy with a fixed contact angle condition

摘要

We study a general asymptotic behavior of critical points of a diffusedinterface energy with a fixed contact angle condition defined on a domain$\Omega \subset \mathbb{R}^n$. We show that the limit varifold derived from thediffused energy satisfies a generalized contact angle condition on the boundaryunder a set of assumptions.