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arXiv 1609.00191math.AP
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固定接触角条件下扩散界面能的奇异扰动极限

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

Takashi Kagaya, Yoshihiro Tonegawa

摘要:

研究了定义在区域$Ω\subset \mathbb{R}^n$上的具有固定接触角条件的扩散界面能临界点的一般渐近行为。我们证明了在一组假设下,由扩散能导出的极限变分在边界上满足广义接触角条件。

英文摘要:

We study a general asymptotic behavior of critical points of a diffused interface energy with a fixed contact angle condition defined on a domain $Ω\subset \mathbb{R}^n$. 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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