8 citations · 15 across the 8 of their papers we have counts for
9 papers
Fundamental solution expansions in stochastic homogenization of parabolic systems with time-dependent coefficients
Junxin Pan, Li Wang, Qiang Xu
This paper studies fundamental solutions of uniformly parabolic systems with stationary random coefficients depending on space and time. Under ergodicity and local regularity, we e…
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…
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…
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…
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…
suboptimal error estimates for homogenization of linear elasticity systems on perforated domains
Li Wang, Qiang Xu, Peihao Zhao
In the present work, we established almost-sharp error estimates for linear elasticity systems in periodically perforated domains. The first result was -error…
Quantitative estimates for homogenization of nonlinear elliptic operators in perforated domains
Li Wang, Qiang Xu, Peihao Zhao
This paper was devoted to study the quantitative homogenization problems for nonlinear elliptic operators in perforated domains. We obtained a sharp error estimate …
Convergence rates on periodic homogenization of p-Laplace type equations
Li Wang, Qiang Xu, Peihao Zhao
In this paper, we find some error estimates for periodic homogenization of p-Laplace type equations under the same structure assumption on homogenized equations. The main idea is t…
Quantitative Estimates on Periodic Homogenization of Nonlinear Elliptic Operators
Li Wang, Qiang Xu, Peihao Zhao
In this paper, we are interested in the periodic homogenization of quasilinear elliptic equations. We obtain error estimates for a domain, and $O(\…