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

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.

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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

Information

Published: November/December 2023
First available in Project Euclid: 21 June 2023

Digital Object Identifier: 10.57262/die036-1112-877

Subjects:
Primary: 35B40 , 58J65 , 60J65 , 60J70 , 92C37

Rights: Copyright © 2023 Khayyam Publishing, Inc.

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Vol.36 • No. 11/12 • November/December 2023
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