论文标题
瞬时弹性连接介导的摩擦：渐近膨胀和脂肪尾巴
Friction mediated by transient elastic linkages : asymptotic expansions and fat tails
论文作者
论文摘要
在先前的工作中，有几个结果在很大程度上取决于我们在粘合剂模型中链接分布的指数尾巴。本文的目的是削弱这一假设，并允许大量的脂肪尾巴。从生物学的角度来看，这意味着我们允许粘连更强，因为链接断裂的频率较小。此外，在我们先前的文章中，渐近扩展粘附部位的位置的位置和相应的错误估计值还使用了内核的一些快速衰减属性，我们表明，当内核是年龄的给定功能，但持续时间持续的功能，如何克服这个问题并以任何顺序以一种系统的方式来克服这个问题，并以小型参数为单位，代表小参数$ε$ε$ε$ε$ε$ε（$ε）。
Several results in previous works, strongly depend on the exponential tail of the linkages' distribution in our adhesive models. The purpose of this paper is to weaken this hypothesis and to allow more fat tails for large ages. From the biological point of view this means that we allow adhesions to be stronger, because linkages break less often. Moreover, in our previous articles, the asymptotic expansion of adhesion site's position and the corresponding error estimates also used some fast decay properties of the kernel, we show, when the kernel is a given function of age but constant in time, how to overcome this problem and construct asymptotic expansions in a systematic way at any order with respect to a small parameter $ε$ representing the linkages' turnover.
