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

被引：9
|
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
收藏
页码：193 / 243
页数：51
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