15 citations · 43 across the 9 of their papers we have counts for
9 papers
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 ),\…
Homogenization of Parabolic Equations with Non-self-similar Scales
Jun Geng, Zhongwei Shen
This paper is concerned with quantitative homogenization of second-order parabolic systems with periodic coefficients varying rapidly in space and time, in different scales. We obt…
Oscillatory integrals and periodic homogenization of Robin boundary value problems
Jun Geng, Jinping Zhuge
In this paper, we consider a family of second-order elliptic systems subject to a periodically oscillating Robin boundary condition. We establish the qualitative homogenization the…
Asymptotic Expansions of Fundamental Solutions in Parabolic Homogenization
Jun Geng, Zhongwei Shen
For a family of second-order parabolic systems with rapidly oscillating and time-dependent periodic coefficients, we investigate the asymptotic behavior of fundamental solutions an…
Boundary Korn Inequality and Neumann Problems in Homogenization of Systems of Elasticity
Jun Geng, Zhongwei Shen, Liang Song
This paper concerns with a family of elliptic systems of linear elasticity with rapidly oscillating periodic coefficients, arising in the theory of homogenization. We establish uni…
Convergence Rates in Parabolic Homogenization with Time-Dependent Periodic Coefficients
Jun Geng, Zhongwei Shen
For a family of second-order parabolic systems with bounded measurable, rapidly oscillating and time-dependent periodic coefficients, we investigate the sharp convergence rates of…