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

Takashi Kagaya, Yoshihiro Tonegawa

Research output: Contribution to journalArticle

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 Ω ⊂ 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.

Original languageEnglish
Pages (from-to)1425-1437
Number of pages13
JournalIndiana University Mathematics Journal
Volume67
Issue number4
DOIs
Publication statusPublished - Jan 1 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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