Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid
Anna Hundertmark-ZauškováMária Lukáčová-MedviďováŠárka Nečasová
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2016 Volume 68 Issue 1 Pages 193-243

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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.

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© 2016 The Mathematical Society of Japan
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