New unexpected limit operators for homogenizing optimal control parabolic problems with dynamic reaction flow on the boundary of critically scaled particles
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911934974001152 |
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| author | Diaz, Jesus Ildefonso Podolskiy, Alexander V. Shaposhnikova, Tatiana A. |
| author_facet | Diaz, Jesus Ildefonso Podolskiy, Alexander V. Shaposhnikova, Tatiana A. |
| contents | We pass to the limit in the homogenization of an optimal control problem associated with a parabolic equation with a dynamic boundary condition. New unexpected terms appear due to the critical scale. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New unexpected limit operators for homogenizing optimal control parabolic problems with dynamic reaction flow on the boundary of critically scaled particles Diaz, Jesus Ildefonso Podolskiy, Alexander V. Shaposhnikova, Tatiana A. Analysis of PDEs 35B27, 35K20, 49K20, 93C20 We pass to the limit in the homogenization of an optimal control problem associated with a parabolic equation with a dynamic boundary condition. New unexpected terms appear due to the critical scale. |
| title | New unexpected limit operators for homogenizing optimal control parabolic problems with dynamic reaction flow on the boundary of critically scaled particles |
| topic | Analysis of PDEs 35B27, 35K20, 49K20, 93C20 |
| url | https://arxiv.org/abs/2406.18712 |