Three dimensional asymptotic analysis of an axisymmetric flow in a thin tube with thin stiff elastic wall

DOI10.1007/s00021-020-0484-8zbMath1434.74052OpenAlexW3017036927MaRDI QIDQ2181656

Ruxandra Stavre, Gregory P. Panasenko

Publication date: 19 May 2020

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-020-0484-8

zbMATH Keywords

periodicityasymptotic analysisaxisymmetric problemcylindrical elastic tubethin fluid-thin elastic medium interaction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Justification of a nonlinear sixth-order thin-film equation as the reduced model for a fluid–structure interaction problem ⋮ A thermal fluid-structure interaction problem: modeling, variational and numerical analysis ⋮ Rigorous derivation of a linear sixth-order thin-film equation as a reduced model for thin fluid-thin structure interaction problems

Cites Work

• Unnamed Item
• Homogenizing the acoustic properties of the seabed. I
• Asymptotic analysis of the Stokes flow with variable viscosity in a thin elastic channel
• Viscous fluid-thin elastic plate interaction: asymptotic analysis with respect to the rigidity and density of the plate
• A one dimensional model of blood flow through a curvilinear artery
• On the unsteady Poiseuille flow in a pipe
• Fluid-structure interaction in a pre-stressed tube with thick elastic walls. I: The stationary Stokes problem
• Asymptotic analysis of a periodic flow in a thin channel with viscoelastic wall
• Asymptotic analysis of a thin rigid stratified elastic plate – viscous fluid interaction problem
• Modeling Viscoelastic Behavior of Arterial Walls and Their Interaction with Pulsatile Blood Flow
• 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
• Existence for an Unsteady Fluid-Structure Interaction Problem
• Viscous fluid-thin cylindrical elastic body interaction: asymptotic analysis on contrasting properties
• Asymptotic analysis of a viscous fluid–thin plate interaction: Periodic flow
• Weak solutions for a fluid-elastic structure interaction model

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