Convergence rate for homogenization of a nonlocal model with oscillating coefficients

Li Lin; Jinqiao Duan

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arXiv · 2103.16805

Convergence rate for homogenization of a nonlocal model with oscillating coefficients

Li Lin·Jinqiao Duan

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Abstract

This letter deals with homogenization of a nonlocal model with Levy-type operator of rapidly oscillating coefficients. This nonlocal model describes mean residence time and other escape phenomena for stochastic dynamical systems with non-Gaussian Levy noise. We derive an effective model with a specific convergence rate. This enables efficient analysis and simulation of escape phenomena under non-Gaussian fluctuations.

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BibTeX RIS

Li Lin, Jinqiao Duan. 2021-03-31. Convergence rate for homogenization of a nonlocal model with oscillating coefficients. https://arxiv.org/abs/2103.16805

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