Academics

Convergence rates and uniform regularity in multiscale elliptic homogenization

Time:Wed., 15:00-16:00, May 13, 2024

Venue:B725, Shuangqing Complex Building A

Organizer:Wenjia Jing

Speaker:Zhuge Jinping

应用分析讨论班

Organizer:

Wenjia Jing 荆文甲(YMSC)

Speaker:

Zhuge Jinping 诸葛金平Morningside Center of Mathematics, CAS

Time:

Wed., 15:00-16:00, May 13, 2024

Venue:

B725, Shuangqing Complex Building A

Title:

Convergence rates and uniform regularity in multiscale elliptic homogenization

Abstract:

I will talk about recent developments for the elliptic equations with coefficients periodically oscillating at multiple (or even infinitely many) different scales. The optimal convergence rates and uniform regularity will be discussed in different situations. This is joint work with Weisheng Niu, Zhongwei Shen and Yao Xu.

DATEMay 12, 2026
SHARE
Related News
    • 0

      Optimal homogenization rates in the stochastic homogenization in a balanced random environment

      AbstractIn this talk we consider the stochastic homogenization of elliptic non-divergence form equations on the integer lattice and the corresponding model of random walks in random environment (RWRE) which is a martingale. We will derive the optimal rates of the homogenization for the Dirichlet problem. We will also discuss the correlation structure of the invariant measure and quantitative es...

    • 1

      Homogenization of nondivergence-form PDEs with discontinuous coefficients: analysis and numerical methods

      AbstractWe study the homogenization of the PDE $-A(x/\varepsilon):D^2 u_{\varepsilon} = f$ posed in a bounded convex domain subject to a Dirichlet boundary condition and the numerical approximation of the homogenized problem, where the measurable, uniformly elliptic, periodic and symmetric diffusion matrix $A$ is merely assumed to be essentially bounded and (in dimension $n>2$) to satisfy the C...