Quantitative Homogenization with Relatively Soft Inclusions and Interior Estimates

Quantitative Homogenization with Relatively Soft Inclusions and Interior Estimates
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具有相对软的夹杂物和内部估计的定量均质化

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发表时间：
2018
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通讯作者：
B. Russell
B. Russell
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作者：
B. Russell

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我们建立了大规模的内部Lipschitz估计的解的线性弹性系统的快速振荡的周期系数和Dirichlet边界条件的区域中的周期性放置的大小为$mathcal{O}（vareps）$和幅度$delta$的包含通过建立$H ^1 $-收敛速度，这样的解决方案。在宏观尺度下，利用S.阿姆斯特朗和C.K. Smart的方法，并将其应用于Armstrong和Z.沈
We establish large-scale interior Lipschitz estimates for solutions to systems of linear elasticity with rapidly oscillating periodic coefficients and Dirichlet boundary conditions in domains with periodically placed inclusions of size $mathcal{O}(varepsilon)$ and magnitude $delta$ by establishing $H^1$-convergence rates for such solutions. The interior estimates at the macroscopic scale are derived directly without the use of compactness via a Campanato-type scheme presented by S. Armstrong and C.K. Smart and that was adapted for uniformly elliptic equations in by Armstrong and Z. Shen.