论文标题
里曼尼式一般表面上的狭窄捕获问题
The narrow capture problem on general Riemannian surfaces
论文作者
论文摘要
在本文中，我们研究了Riemannian 2-manifold上的狭窄捕获问题。这涉及以布朗颗粒建模的表面结合离子的平均第一通道（Sojourn）时间的推导。我们将层的潜在参数与微局部分析结合使用，以得出领先顺序奇异性以及平均第一个传递时间和相关空间平均值的O（1）项。
In this article, we study the narrow capture problem on a Riemannian 2-manifold. This involves the derivation of the mean first passage (sojourn) time of a surface-bound ion modelled as a Brownian particle. We use a layer potential argument in conjunction with microlocal analysis in order to derive the leading order singularity as well as the O(1) term of the mean first passage time and the associated spatial average.
