Analytical and numerical results for an escape problem

DOI10.1007/s00205-011-0455-6zbMath1253.60085OpenAlexW1999241520WikidataQ60120362 ScholiaQ60120362MaRDI QIDQ715355

Carey Caginalp, Xinfu Chen

Publication date: 5 November 2012

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-011-0455-6

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Brownian motion (60J65)

Related Items (5)

First-passage times of multiple diffusing particles with reversible target-binding kinetics ⋮ Analytical solutions for an escape problem in a disc with an arbitrary distribution of exit holes along its boundary ⋮ The narrow escape problem in a circular domain with radial piecewise constant diffusivity ⋮ Asymptotic analysis of first passage time problems inspired by ecology ⋮ Exit time distribution in spherically symmetric two-dimensional domains

Cites Work

• Theory and applications of stochastic processes. An analytical approach
• Narrow escape. II: The circular disk
• Escape through a small opening: receptor trafficking in a synaptic membrane
• A Guide to First-Passage Processes
• An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains
• An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere
• Asymptotic Analysis for the Narrow Escape Problem
• Diffusion escape through a cluster of small absorbing windows

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