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

DOI10.2969/jmsj/06810193zbMath1334.76032OpenAlexW2298571271MaRDI QIDQ267150

Anna Hundertmark-Zaušková, Šarka Matušú-Nečasová, Mária Lukáčová-Medvid'ová

Publication date: 8 April 2016

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1453731541

zbMATH Keywords

existence of weak solutionnon-Newtonian fluidshemodynamicsfluid-structure interactionshear-thickening fluidsshear-thinning fluids

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (12)

Mathematical and Numerical Analysis of Some FSI Problems ⋮ Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation ⋮ Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity ⋮ Existence and regularity of weak solutions for a fluid interacting with a non-linear shell in three dimensions ⋮ A generalization of the Aubin-Lions-Simon compactness lemma for problems on moving domains ⋮ Moving boundary problems ⋮ Compressible fluids interacting with a linear-elastic shell ⋮ On the convergence of fixed point iterations for the moving geometry in a fluid-structure interaction problem ⋮ An incompressible polymer fluid interacting with a Koiter shell ⋮ On the Weak Solution of the Fluid-Structure Interaction Problem for Shear-Dependent Fluids ⋮ On a Viscoelastoplastic Porous Medium Problem with Nonlinear Interaction ⋮ A linearized viscous, compressible flow-plate interaction with non-dissipative coupling

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