论文标题
$γ$ - 限制与生物膜上图案形成相关的尖锐接口模型
$Γ$-limit for a sharp interface model related to pattern formation on biomembranes
论文作者
论文摘要
我们为[29]中提出的模型的尖锐界面版本得出了一个宏观限制,以研究由于生物膜中化学和机械力竞争而导致的模式形成。我们识别亚和超级著名参数制度,并通过引入自相关函数显示基态能量导致亚临界策略中的等等问题,该问题被解释为不形成精细的规模模式。
We derive a macroscopic limit for a sharp interface version of a model proposed in [29] to investigate pattern formation due to competition of chemical and mechanical forces in biomembranes. We identify sub- and supercrital parameter regimes and show with the introduction of the autocorrelation function that the ground state energy leads to the isoperimetric problem in the subcritical regime, which is interpreted to not form fine scale patterns.