Asymptotic analysis of the Stokes flow in a thin cylindrical elastic tube

DOI10.1080/00036811.2011.584187zbMath1252.76071OpenAlexW2041854879MaRDI QIDQ4650231

Gregory P. Panasenko, Ruxandra Stavre

Publication date: 27 November 2012

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

Full work available at URL: https://doi.org/10.1080/00036811.2011.584187

zbMATH Keywords

asymptotic solutionerror estimatefluid-structure interactionviscous fluidaxisymmetric flowperiodic case

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (8)

Viscous fluid-thin cylindrical elastic layer interaction: asymptotic analysis ⋮ A boundary control problem for the blood flow in venous insufficiency. The general case ⋮ Rigorous justification of the asymptotic model describing a curved‐pipe flow in a time‐dependent domain ⋮ A new thin layer model for viscous flow between two nearby non‐static surfaces ⋮ A viscous fluid flow through a thin channel with mixed rigid-elastic boundary: variational and asymptotic analysis ⋮ Viscous fluid-thin cylindrical elastic body interaction: asymptotic analysis on contrasting properties ⋮ Asymptotic analysis of a thin fluid layer flow between two moving surfaces ⋮ Asymptotic analysis of a viscous fluid–thin plate interaction: Periodic flow

Cites Work

• Unnamed Item
• Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall
• Existence of weak solutions for the motion of rigid bodies in a viscous fluid
• Asymptotic analysis of the Stokes flow with variable viscosity in a thin elastic channel
• Asymptotic analysis of a periodic flow in a thin channel with viscoelastic wall
• Existence for an Unsteady Fluid-Structure Interaction Problem

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