Narrow escape problem in the presence of the force field

Autor:	Medet Nursultanov, William Trad, Leo Tzou
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis Mathematics - Analysis of PDEs Mathematics::Probability General Mathematics Probability (math.PR) Primary: 58J65 Secondary: 60J65 35B40 92C37 FOS: Mathematics General Engineering Mathematics - Probability Analysis of PDEs (math.AP) Functional Analysis (math.FA)
Zdroj:	Mathematical Methods in the Applied Sciences. 45:10027-10051
ISSN:	1099-1476 0170-4214
DOI:	10.1002/mma.8354
Popis:	This paper considers the narrow escape problem of a Brownian particle within a three-dimensional Riemannian manifold under the influence of the force field. We compute an asymptotic expansion of mean sojourn time for Brownian particles. As an auxiliary result, we obtain the singular structure for the restricted Neumann Green's function which may be of independent interest. Comment: 27 pages. arXiv admin note: text overlap with arXiv:2101.07958
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b73934aa04a70b58a0489295190b809 https://doi.org/10.1002/mma.8354 Zobrazit plný text záznamu Plný text