Quantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications
Analysis of PDEs
2024-05-03 v1
Abstract
We study the periodic homogenization problem of state-constraint Hamilton--Jacobi equations on perforated domains in the convex setting and obtain the optimal convergence rate. We then consider a dilute situation in which the holes' diameter is much smaller than the microscopic scale. Finally, a homogenization problem with domain defects where some holes are missing is analyzed.
Keywords
Cite
@article{arxiv.2405.01408,
title = {Quantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications},
author = {Yuxi Han and Wenjia Jing and Hiroyoshi Mitake and Hung V. Tran},
journal= {arXiv preprint arXiv:2405.01408},
year = {2024}
}