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Asymptotic Analysis of Boundary Layers for Stokes Systems in Periodic Homogenization

Agne, Moustapha
arXiv (All) · Papers
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analysis-of-pdes
We investigate the asymptotics of boundary layers in periodic homogenization. The analysis is focused on a Stokes system with periodic coefficients and periodic Dirichlet data posed in the half-space $\{y\in \mathbb{R}^d: y\cdot n -s>0\}$. In particular, we establish the convergence of the velocity
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