Mathematical theory of nonlinear single-phase poroelasticity

DOI10.1007/s00332-023-09896-zzbMath1524.74126OpenAlexW4288345646MaRDI QIDQ6038847

Publication date: 3 May 2023

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-023-09896-z

zbMATH Keywords

free energy pseudo-monotonicity incremental problem continuous time limit quasi-static nonlinear poroelasticity

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Semilinear Degenerate Biot–Signorini System ⋮ Mathematical effects of linear visco-elasticity in quasi-static Biot models ⋮ New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability

Cites Work

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Analysis of nonlinear poro-elastic and poro-visco-elastic models
Analysis and numerical approximations of equations of nonlinear poroelasticity
Theories of immiscible and structured mixtures
Degenerate two-phase porous media flow model with dynamic capillarity
Non-homogeneous media and vibration theory
Introduction to modelling of transport phenomena in porous media
A variational theory of immiscible mixtures
Multiscale flow and deformation in hydrophilic swelling porous media
Diffusion in poro-elastic media
The unsaturated flow in porous media with dynamic capillary pressure
A rigorous derivation of the equations for the clamped Biot-Kirchhoff-Love poroelastic plate
A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure
Derivation of a Poroelastic Flexural Shell Model
Entropy Methods for Diffusive Partial Differential Equations
A Galerkin Method for Biot Consolidation Model
The existence and uniqueness theorem in Biot's consolidation theory
Mechanics of Deformation and Acoustic Propagation in Porous Media
A monolithic phase-field model of a fluid-driven fracture in a nonlinear poroelastic medium
Poro-Visco-Elastic Compaction in Sedimentary Basins
ON THE INTERFACE LAW BETWEEN A DEFORMABLE POROUS MEDIUM CONTAINING A VISCOUS FLUID AND AN ELASTIC BODY
A survey of entropy methods for partial differential equations
Partial differential equations. An application-oriented introduction
Nonlinear partial differential equations with applications

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