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arXiv · 1609.00191

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

Takashi Kagaya·Yoshihiro Tonegawa
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Abstract

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

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Takashi Kagaya, Yoshihiro Tonegawa. 2016-09-01. A singular perturbation limit of diffused interface energy with a fixed contact angle condition. https://doi.org/10.1512/iumj.2018.67.7423

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