The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics

DOI10.3934/mbe.2018042zbMath1406.92040arXiv1710.00248OpenAlexW2763926449WikidataQ58130343 ScholiaQ58130343MaRDI QIDQ1714915

Giovanna Guidoboni, Riccardo Sacco, Lorena Bociu, Maurizio Verri

Publication date: 1 February 2019

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

Full work available at URL: https://arxiv.org/abs/1710.00248

zbMATH Keywords

viscoelasticityexplicit solutionconfined compressiondeformable porous media flowincompressible constituentsvelocity blow-up

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biomechanics (92C10) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (10)

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 ⋮ Semilinear Degenerate Biot–Signorini System ⋮ 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 ⋮ Mathematical analysis of hydrodynamics and tissue deformation inside an isolated solid tumor ⋮ Poro-visco-elasticity in biomechanics: optimal control

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