Quantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917655784456192 |
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| author | Han, Yuxi Jing, Wenjia Mitake, Hiroyoshi Tran, Hung V. |
| author_facet | Han, Yuxi Jing, Wenjia Mitake, Hiroyoshi Tran, Hung V. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01408 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications Han, Yuxi Jing, Wenjia Mitake, Hiroyoshi Tran, Hung V. Analysis of PDEs 35B10, 35B27, 35B40, 35F21, 49L25 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. |
| title | Quantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications |
| topic | Analysis of PDEs 35B10, 35B27, 35B40, 35F21, 49L25 |
| url | https://arxiv.org/abs/2405.01408 |