The narrow capture problem on general Riemannian surfaces

Authors
  • M. Nursultanov
  • W. Trad
  • J. Tzou
  • L. Tzou ORCID logo
Publication date 2023
Journal Differential and Integral Equations
Volume | Issue number 36 | 11-12
Pages (from-to) 877-906
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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
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