2 citations · 6 across the 8 of their papers we have counts for
9 papers
Quantitative homogenization of elliptic equations with infinitely many scales
Zhongwei Shen, Yao Xu, Jinping Zhuge
In this paper, we develop a general homogenization theory for elliptic equations with coefficients that oscillate periodically at infinitely many scales $\varepsilon = (\varepsilon…
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…
Finite-dimensionality of attractors for wave equations with degenerate nonlocal damping
Zhijun Tang, Senlin Yan, Yao Xu +1
In this paper we study the fractal dimension of global attractors for a class of wave equations with (single-point) degenerate nonlocal damping. Both the equation and its lineariza…
Convergence rates in homogenization of parabolic systems with locally periodic coefficients
Yao Xu
In this paper we study the quantitative homogenization of second-order parabolic systems with locally periodic (in both space and time) coefficients. The scale-inv…
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…