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arXiv · 2406.18712

New unexpected limit operators for homogenizing optimal control parabolic problems with dynamic reaction flow on the boundary of critically scaled particles

Jesus Ildefonso Diaz·Alexander V. Podolskiy·Tatiana A. Shaposhnikova
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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.

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Jesus Ildefonso Diaz, Alexander V. Podolskiy, Tatiana A. Shaposhnikova. 2024-06-26. New unexpected limit operators for homogenizing optimal control parabolic problems with dynamic reaction flow on the boundary of critically scaled particles. https://arxiv.org/abs/2406.18712

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