On the role of compressibility in poroviscoelastic models

DOI10.3934/mbe.2019308zbMath1500.76081OpenAlexW2954272486WikidataQ93200814 ScholiaQ93200814MaRDI QIDQ2160907

Giovanna Guidoboni, Riccardo Sacco, Lorena Bociu, Maurizio Verri

Publication date: 3 August 2022

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2019308

zbMATH Keywords

well-posednessexplicit solutionKelvin-Voigt modelporous medium flowtotal stress tensorpseudo-parabolic initial-boundary value problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

Weak solutions in nonlinear poroelasticity with incompressible constituents ⋮ Numerical simulation and analysis of multiscale interface coupling between a poroelastic medium and a lumped hydraulic circuit: comparison between functional iteration and operator splitting methods ⋮ Optimal control in poroelasticity ⋮ Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials ⋮ Mathematical effects of linear visco-elasticity in quasi-static Biot models ⋮ Multilayered Poroelasticity Interacting with Stokes Flow ⋮ Nonlinear quasi-static poroelasticity ⋮ Potential method in the coupled theory of viscoelasticity of porous materials ⋮ Poro-visco-elasticity in biomechanics: optimal control

Cites Work

• Analysis of nonlinear poro-elastic and poro-visco-elastic models
• A poroelastic model for the perfusion of the lamina cribrosa in the optic nerve head
• Diffusion in poro-elastic media
• Dynamic Analysis of a One-Dimensional Poroviscoelastic Column
• Unnamed Item

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