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math.AP2022
Calderon-Zygmund estimates for stochastic elliptic systems on bounded Lipschitz domains
Li Wang, Qiang Xu
Concerned with elliptic operators with stationary random coefficients of integrable correlations and bounded Lipschitz domains, arising from stochastic homogenization theory, this…
math.AP2022
Corrector estimates and homogenization errors of unsteady flow ruled by Darcy's law
Li Wang, Qiang Xu, Zhifei Zhang
Focusing on Darcy's law incorporating memory effects, this paper studies non-stationary Stokes equations on perforated domains. We establish a sharp homogenization error for both v…