Abstract
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 modeled 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.
Citation
Medet Nursultanov. William Trad. Justin Tzou. Leo Tzou. "The narrow capture problem on general Riemannian surfaces." Differential Integral Equations 36 (11/12) 877 - 906, November/December 2023. https://doi.org/10.57262/die036-1112-877
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