196 citations · 461 across the 65 of their papers we have counts for
65 papers
Darcy's Law for Porous Media with Multiple Microstructures
Zhongwei Shen
In this paper we study the homogenization of the Dirichlet problem for the Stokes equations in a perforated domain with multiple microstructures. First, under the assumption that t…
Uniform Estimates and Large-Scale Regularity for Dirichlet Problems in Perforated Domains
Zhongwei Shen, Jamison Wallace
In this paper we study the Dirichlet problem for Laplace's equation in a domain perforated periodically with small holes in , where represents the scal…
Uniform Estimates for Dirichlet Problems in Perforated Domains
Zhongwei Shen
This paper studies the Dirichlet problem for Laplace's equation in a domain perforated with small holes, where represents the scale of the minima…
Population dynamics under demographic and environmental stochasticity
Alexandru Hening, Weiwei Qi, Zhongwei Shen +1
The present paper is devoted to the study of the long term dynamics of diffusion processes modelling a single species that experiences both demographic and environmental stochastic…
Critical Sets of Elliptic Equations with Rapidly Oscillating Coefficients in Two Dimensions
Fanghua Lin, Zhongwei Shen
In this paper we continue the study of critical sets of solutions $u_\e$ of second-order elliptic equations in divergence form with rapidly oscillating and periodic coefficients. I…
Critical Sets of Solutions of Elliptic Equations in Periodic Homogenization
Fanghua Lin, Zhongwei Shen
In this paper we study critical sets of solutions $u_\e$ of second-order elliptic equations in divergence form with rapidly oscillating and periodic coefficients. We show that the…