论文标题

2D Cahn-Hilliard-Navier-Stokes系统的均质化

Homogenization of 2D Cahn-Hilliard-Navier-Stokes system

论文作者

Bunoiu, Renata, Cardone, Giuseppe, Kengne, Romaric, Woukeng, Jean Louis

论文摘要

在当前的工作中,我们正在进行Cahn-Hilliard-Navier-Stokes系统的渐近分析,超出周期性的环境。在域中的微观结构上的一般确定性分布假设下,我们发现了等于异质的极限模型。为此,我们使用适合通过极限的Sigma-Convergence概念。

In the current work, we are performing the asymptotic analysis, beyond the periodic setting, of the Cahn-Hilliard-Navier-Stokes system. Under the general deterministic distribution assumption on the microstructures in the domain, we find the limit model equivalent to the heterogeneous one. To this end, we use the sigma-convergence concept which is suitable for the passage to the limit.

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