Narrow escape problem in the presence of the force field

DOI10.1002/mma.8354arXiv2107.01403MaRDI QIDQ6142147

Leo Tzou, William Trad, Medet Nursultanov

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.01403

zbMATH Keywords

drift-diffusionforce fieldmean sojourn timenarrow escape problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Brownian motion (60J65) Probabilistic potential theory (60J45) Diffusion processes and stochastic analysis on manifolds (58J65) Cell biology (92C37)

Cites Work

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• Layer potential techniques for the narrow escape problem
• Hitting probabilities for Brownian motion on Riemannian manifolds.
• The narrow escape problem -- a short review of recent results
• Evolution of time-harmonic electromagnetic and acoustic waves along waveguides
• On the mean first arrival time of Brownian particles on Riemannian manifolds
• Narrow escape. I
• Narrow escape. II: The circular disk
• Narrow escape. III: Non-smooth domains and Riemann surfaces
• Escape through a small opening: receptor trafficking in a synaptic membrane
• 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
• Determining anisotropic real-analytic conductivities by boundary measurements
• Introduction to Riemannian Manifolds
• Eigenvalue asymptotics for weighted Laplace equations on rough Riemannian manifolds with boundary
• Functions of constant geodesic x-ray transform
• Activation through a Narrow Opening
• Stochastic Narrow Escape in Molecular and Cellular Biology
• Partial Differential Equations

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