6533b852fe1ef96bd12ab825

RESEARCH PRODUCT

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

subject

Dilatant35D30General MathematicsConstant Viscosity Elastic (Boger) Fluidsfluid-structure interactionhemodynamics01 natural sciencesexistence of weak solutionPhysics::Fluid Dynamics76A0576D03Fluid–structure interactionshear-thinning fluids0101 mathematicsMathematicsWeak solution010102 general mathematicsMechanicsnon-Newtonian fluidsNon-Newtonian fluid010101 applied mathematicsShear rateCondensed Matter::Soft Condensed Matter74F10Shear (geology)Generalized Newtonian fluidshear-thickening fluids35Q30

description

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.

yearjournalcountryeditionlanguage
2016-01-01
10.2969/jmsj/06810193http://projecteuclid.org/euclid.jmsj/1453731541