2 citations · 6 across the 4 of their papers we have counts for
8 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…
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…