New unexpected limit operators for homogenizing optimal control parabolic problems with dynamic reaction flow on the boundary of critically scaled particles
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.18712
- arXiv:
- arXiv:2406.18712
- Bibcode:
- 2024arXiv240618712I
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35B27;
- 35K20;
- 49K20;
- 93C20