On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid

被引：10

作者：

Hundertmark-Zauskova, Anna ^{[1
]}

Lukacova-Medvidova, Maria ^{[1
]}

Necasova, Sarka ^{[2
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Math, Staudingerweg 9, D-55122 Mainz, Germany

[2] Acad Sci Czech Republ, Zitna 25, Prague, Czech Republic

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2016年 / 68卷 / 01期

关键词：

non-Newtonian fluids; fluid-structure interaction; shear-thinning fluids; shear-thickening fluids; hemodynamics; existence of weak solution; FLOWS; VISCOSITY; EQUATIONS; DOMAIN;

D O I：

10.2969/jmsj/06810193

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of weak solution for unsteady fluid structure interaction problem for shear-thickening flow. The time dependent domain has at one part a flexible elastic wall. The evolution of fluid domain is governed by the generalized string equation with action of the fluid forces. The power-law viscosity model is applied to describe shear-dependent non-Newtonian fluids.

引用

页码：193 / 243

页数：51

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