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

被引：7

作者：

Bunoiu, R. ^{[1
]}

Cardone, G. ^{[2
]}

Kengne, R. ^{[3
]}

Woukeng, J. L. ^{[3
]}

机构：

[1] Univ Lorraine, IECL, CNRS, UMR 7502, 3 Rue Augustin Fresnel, F-57073 Metz, France

[2] Univ Sannio, Dept Engn, Corso Garibaldi 107, I-84100 Benevento, Italy

[3] Univ Dschang, Dept Math & Comp Sci, POB 67, Dschang, Cameroon

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2020年 / 6卷 / 01期

关键词：

Cahn-Hilliard-Navier-Stokes system; Sigma-convergence; Homogenization; Variable viscosity; 2-SCALE CONVERGENCE; ASYMPTOTIC-BEHAVIOR; ALGEBRAS; FLOW; FILTRATION; EQUATIONS; DOMAINS;

D O I：

10.1007/s41808-020-00074-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：377 / 408

页数：32

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