The narrow capture problem on general Riemannian surfaces
| Authors |
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| Publication date | 2023 |
| Journal | Differential and Integral Equations |
| Volume | Issue number | 36 | 11-12 |
| Pages (from-to) | 877-906 |
| Organisations |
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| 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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.57262/die036-1112-877
(Final published version)
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