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- W4221144639 abstract "Concerned with Darcy's law with memory, originally developed by J.-L. Lions cite{Lions81}, this paper is devoted to studying non-stationary Stokes equations on perforated domains. We obtain a sharp homogenization error in the sense of energy norms, where the main challenge is to control the boundary layers caused by the incompressibility condition. Our method is to construct boundary-layer correctors associated with Bogovskii's operator, which is robust enough to be applied to other problems of fluid mechanics on homogenization and porous medium." @default.
- W4221144639 created "2022-04-03" @default.
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- W4221144639 date "2022-02-09" @default.
- W4221144639 modified "2023-09-22" @default.
- W4221144639 title "Corrector estimates and homogenization error of unsteady flow ruled by Darcy's law" @default.
- W4221144639 doi "https://doi.org/10.48550/arxiv.2202.04826" @default.
- W4221144639 hasPublicationYear "2022" @default.
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