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Homogenization of an optimal control problem for a Navier-Stokes-Cahn-Hilliard system in a 3D perforated domain

Chakrabortty, Amartya et al.
arXiv (All) · Papers
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35q3549j45analysis-of-pdesoptimization-and-control
We study the homogenization of an optimal control problem governed by a Navier-Stokes-Cahn-Hilliard system in a periodically perforated three-dimensional domain. The obstacles are Lipschitz sets of size $\varepsilon^α$, $α>3$, where $\varepsilon$ is the period. The fluid satisfies the no-slip condit
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