## Journal of the Mathematical Society of Japan

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

#### Abstract

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.

#### Article information

Source
J. Math. Soc. Japan, Volume 68, Number 1 (2016), 193-243.

Dates
First available in Project Euclid: 25 January 2016

https://projecteuclid.org/euclid.jmsj/1453731541

Digital Object Identifier
doi:10.2969/jmsj/06810193

Mathematical Reviews number (MathSciNet)
MR3454559

Zentralblatt MATH identifier
1334.76032

#### Citation

HUNDERTMARK-ZAUŠKOVÁ, Anna; LUKÁČOVÁ-MEDVIĎOVÁ, Mária; NEČASOVÁ, Šárka. On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid. J. Math. Soc. Japan 68 (2016), no. 1, 193--243. doi:10.2969/jmsj/06810193. https://projecteuclid.org/euclid.jmsj/1453731541

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