The narrow capture problem on general Riemannian surfaces

IF 1.8 4区数学 Q1 MATHEMATICS

Differential and Integral Equations Pub Date : 2022-09-26 DOI:10.57262/die036-1112-877

M. Nursultanov, William Trad, J. Tzou, L. Tzou

引用次数: 4

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 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.

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一般黎曼曲面上的窄俘获问题

本文研究了黎曼2流形上的窄俘获问题。这涉及到以布朗粒子为模型的表面束缚离子的平均首次通过(逗留)时间的推导。我们将层势论证与微局部分析相结合，以推导出领先阶奇点以及平均首次通过时间的O(1)项和相关的空间平均值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Differential and Integral Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential and Integral Equations will publish carefully selected research papers on mathematical aspects of differential and integral equations and on applications of the mathematical theory to issues arising in the sciences and in engineering. Papers submitted to this journal should be correct, new, and of interest to a substantial number of mathematicians working in these areas.