Mathematical effects of linear visco-elasticity in quasi-static Biot models (Q6112505)

scientific article; zbMATH DE number 7723315

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English	Mathematical effects of linear visco-elasticity in quasi-static Biot models	scientific article; zbMATH DE number 7723315

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instance of

scholarly article

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title

Mathematical effects of linear visco-elasticity in quasi-static Biot models (English)

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Journal of Mathematical Analysis and Applications

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publication date

7 August 2023

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full work available at URL

https://arxiv.org/abs/2208.11653

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zbMATH Keywords

poroelasticity

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implicit evolution equations

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strong damping

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viscoelasticity

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MaRDI profile type

MaRDI publication profile

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cites work

Dynamic behaviour of a porous medium saturated by a Newtonian fluid

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Lack of generation of strongly continuous semigroups by the damped wave operator on \(H\times H\) (or: The little engine that couldn't)

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Sensitivity analysis in poro-elastic and poro-visco-elastic models with respect to boundary data

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Robust fixed stress splitting for Biot's equations in heterogeneous media

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Global existence of weak solutions to unsaturated poroelasticity

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Multilayered Poroelasticity Interacting with Stokes Flow

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Analysis of nonlinear poro-elastic and poro-visco-elastic models

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On the role of compressibility in poroviscoelastic models

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Weak solutions in nonlinear poroelasticity with incompressible constituents

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Poro-visco-elasticity in biomechanics: optimal control

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Nonlinear quasi-static poroelasticity

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Steady flow in a deformable porous medium

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Multiscale two-stage solver for Biot's poroelasticity equations in subsurface media

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Proof of extensions of two conjectures on structural damping for elastic systems

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A mathematical model for linear elastic systems with structural damping

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Q4847899

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A stabilized method for a secondary consolidation Biot's model

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Effective acoustic equations for a two-phase medium with microstructure

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Physics-informed neural network simulation of multiphase poroelasticity using stress-split sequential training

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On the essential spectrum of a semigroup of thermoelasticity

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Biot-pressure system with unilateral displacement constraints

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On well-posedness and small data global existence for an interface damped free boundary fluid–structure model

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Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions

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A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity

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\(L^p\) theory for the interaction between the incompressible Navier-Stokes system and a damped plate

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Accurate discretization of poroelasticity without Darcy stability

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Q3653545

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Q3165060

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Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls

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Multiscale flow and deformation in hydrophilic swelling porous media

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Stability and monotonicity for some discretizations of the Biot's consolidation model

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Mixed and Galerkin finite element approximation of flow in a linear viscoelastic porous medium

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Q3690482

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Non-homogeneous media and vibration theory

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Q4767635

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Q4332942

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Diffusion in poro-elastic media

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Mathematical theory of nonlinear single-phase poroelasticity

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

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On the homogenization of visco-elastic processes

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The existence and uniqueness theorem in Biot's consolidation theory

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Identifiers

arXiv ID

2208.11653

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DOI

10.1016/j.jmaa.2023.127462

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6112505