# The narrow capture problem on general Riemannian surfaces

@inproceedings{Nursultanov2022TheNC, title={The narrow capture problem on general Riemannian surfaces}, author={Medet Nursultanov and William Trad and J. C. Tzou and Leo Tzou}, year={2022} }

. 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.

## One Citation

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