2 citations · 10 across the 10 of their papers we have counts for
11 papers
Optimal convergence rates in multiscale elliptic homogenization
Weisheng Niu, Yao Xu, Jinping Zhuge
This paper is devoted to the quantitative homogenization of multiscale elliptic operator , where $A_\varepsilon(x) = A(x/\varepsilon_1, x/\vareps…
Uniform Calderón-Zygmund estimates in multiscale elliptic homogenization
Weisheng Niu, Jinping Zhuge
This paper is concerned with the elliptic equation in a bounded domain, where takes a form o…
Well-posedness and regularity of the Darcy-Boussinesq system in layered porous media
Yining Cao, Weisheng Niu, Xiaoming Wang
We establish the existence of global weak solution in 2D and 3D, as well as the uniqueness of weak solution in 2D, for the Darcy-Boussinesq model for convection in layered porous m…
Compactness and stable regularity in multiscale homogenization
Weisheng Niu, Jinping Zhuge
In this paper we develop some new techniques to study the multiscale elliptic equations in the form of , where $A_\…
Homogenization of locally periodic parabolic operators with non-self-similar scales
Jun Geng, Weisheng Niu
We investigate quantitative estimates in homogenization of the locally periodic parabolic operator with multiscales $$ \partial_t- \text{div} (A(x,t,x/\varepsilon,t/κ^2) \nabla ),\…
Combined Effects of Homogenization and Singular Perturbations: Quantitative Estimates
Weisheng Niu, Zhongwei Shen
We investigate quantitative estimates in periodic homogenization of second-order elliptic systems of elasticity with singular fourth-order perturbations. The convergence rates, whi…
Quantitative Estimates in Reiterated Homogenization
Weisheng Niu, Zhongwei Shen, Yao Xu
This paper investigates quantitative estimates in the homogenization of second-order elliptic systems with periodic coefficients that oscillate on multiple separated scales. We est…
Convergence rates in homogenization of higher order parabolic systems
Weisheng Niu, Yao Xu
This paper is concerned with the optimal convergence rate in homogenization of higher order parabolic systems with bounded measurable, rapidly oscillating periodic coefficients. Th…
Convergence Rates in Almost-Periodic Homogenization of Higher-order Elliptic Systems
Yao Xu, Weisheng Niu
This paper concentrates on the quantitative homogenization of higher-order elliptic systems with almost-periodic coefficients in bounded Lipschitz domains. For coefficients which a…
Uniform Boundary Estimates in Homogenization of Higher Order Elliptic Systems
Weisheng Niu, Yao Xu
This paper focuses on the uniform boundary estimates in homogenization of a family of higher order elliptic operators , with rapidly oscillating periodic coefficient…
Convergence Rates and Interior Estimates in Homogenization of Higher Order Elliptic Systems
Weisheng Niu, Zhongwei Shen, Yao Xu
This paper is concerned with the quantitative homogenization of -order elliptic systems with bounded measurable, rapidly oscillating periodic coefficients. We establish the sha…