Homogenization of Discrete High-Contrast Energies
Homogenization of Discrete High-Contrast Energies
复制标题
离散高对比度能量的均匀化
DOI：
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发表时间：
2015
影响因子：
2
通讯作者：
Andrey L. Piatnitski
中科院分区：
文献类型：
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作者：
Andrea Braides;V. C. Piat;Andrey L. Piatnitski
本文着重于从简单的高对比度原子相互作用导出双孔隙模型。利用变分方法和$Gamma$-收敛技巧，我们得到了有效的双孔隙度型问题，并证明了收敛性。我们还考虑了动力学的情况下，研究了相应的离散泛函的梯度流的解的渐近行为。
This paper focuses on deriving double-porosity models from simple high-contrast atomistic interactions. Using the variational approach and $Gamma$-convergence techniques we derive the effective double-porosity type problem and prove the convergence. We also consider the dynamical case and study the asymptotic behavior of solutions for the gradient flow of the corresponding discrete functionals.