Mathematical effects of linear visco-elasticity in quasi-static Biot models
From MaRDI portal
Publication:6112505
DOI10.1016/j.jmaa.2023.127462arXiv2208.11653OpenAlexW4379141595MaRDI QIDQ6112505
Lorena Bociu, Boris Muha, Justin T. Webster
Publication date: 7 August 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.11653
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Linear constitutive equations for materials with memory (74D05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of nonlinear poro-elastic and poro-visco-elastic models
- Robust fixed stress splitting for Biot's equations in heterogeneous media
- Proof of extensions of two conjectures on structural damping for elastic systems
- Non-homogeneous media and vibration theory
- Dynamic behaviour of a porous medium saturated by a Newtonian fluid
- Lack of generation of strongly continuous semigroups by the damped wave operator on \(H\times H\) (or: The little engine that couldn't)
- Multiscale flow and deformation in hydrophilic swelling porous media
- Diffusion in poro-elastic media
- The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics
- Effective acoustic equations for a two-phase medium with microstructure
- 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
- Biot-pressure system with unilateral displacement constraints
- Nonlinear quasi-static poroelasticity
- Accurate discretization of poroelasticity without Darcy stability
- Poro-visco-elasticity in biomechanics: optimal control
- Physics-informed neural network simulation of multiphase poroelasticity using stress-split sequential training
- Weak solutions in nonlinear poroelasticity with incompressible constituents
- On the role of compressibility in poroviscoelastic models
- \(L^p\) theory for the interaction between the incompressible Navier-Stokes system and a damped plate
- Multiscale two-stage solver for Biot's poroelasticity equations in subsurface media
- Mixed and Galerkin finite element approximation of flow in a linear viscoelastic porous medium
- Stability and monotonicity for some discretizations of the Biot's consolidation model
- The existence and uniqueness theorem in Biot's consolidation theory
- A mathematical model for linear elastic systems with structural damping
- On the essential spectrum of a semigroup of thermoelasticity
- A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity
- On the homogenization of visco-elastic processes
- Global existence of weak solutions to unsaturated poroelasticity
- Multilayered Poroelasticity Interacting with Stokes Flow
- Sensitivity analysis in poro-elastic and poro-visco-elastic models with respect to boundary data
- On well-posedness and small data global existence for an interface damped free boundary fluid–structure model
- Steady flow in a deformable porous medium
- A stabilized method for a secondary consolidation Biot's model
- Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions
- Mathematical theory of nonlinear single-phase poroelasticity
