Existence and uniqueness of solution for fluid-plate interaction problem

DOI10.1080/00036811.2015.1027695zbMath1338.76015OpenAlexW1968054620WikidataQ58291599 ScholiaQ58291599MaRDI QIDQ2805609

Eduard Marušić-Paloka, Andrijana Ćurković

Publication date: 12 May 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1027695

zbMATH Keywords

fluid-structure interactionviscous fluidelastic plateexistence and uniqueness of the solution

Mathematics Subject Classification ID

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)

Related Items (2)

Viscous fluid-thin cylindrical elastic body interaction: asymptotic analysis on contrasting properties ⋮ Asymptotic analysis of a thin fluid layer-elastic plate interaction problem

Cites Work

• Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
• Asymptotic analysis of a periodic flow in a thin channel with viscoelastic wall
• Spectral Approximations of the Stokes Equations with Boundary Conditions on the Pressure
• HOPF SOLUTIONS TO A FLUID-ELASTIC INTERACTION MODEL
• Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate
• Effective Equations Modeling the Flow of a Viscous Incompressible Fluid through a Long Elastic Tube Arising in the Study of Blood Flow through Small Arteries

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