2 papers
math.AP2025
New cost terms through the homogenization of an optimal control problem under dynamic boundary conditions on the microscopic particles
J. I. DÃaz, T. A. Shaposhnikova, A. V. Podolskiy
Given an optimal control problem on a heterogeneous body with a periodical structure of particles depending on a small parameter e, we study the asymptotic behavior, as e converges…
math.AP2024
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
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…