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math.AP2026
Boundary estimates and Green function's expansion for elliptic systems with random coefficients
Li Wang, Qiang Xu
We investigate boundary estimates for elliptic operators with stationary random coefficients exhibiting integrable correlations, arising from stochastic homogenization theory. As p…
math.AP2025
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…
math.AP2024
Annealed Calderón-Zygmund estimates for elliptic operators with random coefficients on domains
Li Wang, Qiang Xu
Concerned with elliptic operators with stationary random coefficients governed by linear or nonlinear mixing conditions and bounded (or unbounded) domains, this paper mainly…