HOMOGENIZATION OF A SUBMERGED TWO-LEVEL BRISTLE STRUCTURE FOR MODELING IN BIOTECHNOLOGY

被引：0
|
作者：
Sazhenkov, S. A. [1 ,2 ]
Sazhenkova, E., V [3 ]
机构：
[1] Russian Acad Sci, Siberian Div, Lavrentyev Inst Hydrodynam, 15 Acad Lavrentyev Ave, Novosibirsk 630090, Russia
[2] Altai State Univ, Fac Math & Informat Technol, Lab Math & Comp Modeling Nat & Ind Syst, 61 Lenina Ave, Barnaul 656049, Russia
[3] Novosibirsk State Univ Econ & Management, Chair Math & Nat Sci, 56 Kamenskaya Str, Novosibirsk 630099, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2020年 / 17卷
关键词：
homogenization; periodic structure; compressible fluid; elastic solid; Navier-Stokes equations; Lame's equations; biotechnology; bionics;
D O I：
10.33048/semi.2020.17.100
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The effective macroscopic model describing reciprocal motion of viscous weakly compressible fluid and two-level hierarchical fine bristle-like elastic structure is derived from microstructure via the Allaire-Briane homogenization method. This new model naturally generalizes the well-known system constructed by K.-H. Hoffmann, N. Botkin and V. Starovoitov for description of fine periodic elastic structures in fluids (2005). In applications, the established model can be used, for example, in description of airflow near surface of plant's leaf, in simulation of epithelium surfaces of blood vessels, and in design of biotechnological devices operating in liquids.
引用
收藏
页码：1359 / 1450
页数：92
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