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Weak and strong solutions for a fluid‐poroelastic‐structure interaction via a semigroup approach
A filtration system comprising a Biot poroelastic solid coupled to an incompressible Stokes
free‐flow is considered in 3D. Across the flat 2D interface, the Beavers‐Joseph‐Saffman …
free‐flow is considered in 3D. Across the flat 2D interface, the Beavers‐Joseph‐Saffman …
Analysis of a Multiscale Interface Problem Based on the Coupling of Partial and Ordinary Differential Equations to Model Tissue Perfusion
In biomechanics, local phenomena, such as tissue perfusion, are strictly related to the global
features of the surrounding blood circulation. In this paper, we propose a heterogeneous …
features of the surrounding blood circulation. In this paper, we propose a heterogeneous …
Existence of a weak solution to a regularized moving boundary fluid-structure interaction problem with poroelastic media
We study the existence of a weak solution to a regularized, moving boundary, fluid-structure
interaction problem with multi-layered poroelastic media consisting of a reticular plate …
interaction problem with multi-layered poroelastic media consisting of a reticular plate …
Mathematical effects of linear visco-elasticity in quasi-static Biot models
We investigate and clarify the mathematical properties of linear poro-elastic systems in the
presence of classical (linear, Kelvin-Voigt) visco-elasticity. In particular, we quantify the time …
presence of classical (linear, Kelvin-Voigt) visco-elasticity. In particular, we quantify the time …
Semilinear Degenerate Biot–Signorini System
Nonlinear extensions of the quasi-static Biot model of consolidation are studied with
emphasis on boundary conditions, attainment of initial values, and parabolic regularizing …
emphasis on boundary conditions, attainment of initial values, and parabolic regularizing …
Numerical simulation and analysis of multiscale interface coupling between a poroelastic medium and a lumped hydraulic circuit: comparison between functional …
We consider a multiscale problem modeling the flow of a fluid through a deformable porous
medium, described by a system of partial differential equations (PDEs), connected with a …
medium, described by a system of partial differential equations (PDEs), connected with a …
Comparing Interface Conditions for a 3D–0D Multiscale Interface Coupling With Applications in Tissue Perfusion
Many pathologies are related to hemodynamic changes occurring at the microvascular level,
where small vessels pierce the tissue, perfusing it with blood. Since there is a large number …
where small vessels pierce the tissue, perfusing it with blood. Since there is a large number …
Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials
In this paper, we thoroughly analyze the linearized version of a poromechanics model
developed to simulate biological tissues perfusion. This is a fully dynamical model in which …
developed to simulate biological tissues perfusion. This is a fully dynamical model in which …
[PDF][PDF] Fluid-poroviscoelastic structure interaction problem with nonlinear coupling
We prove the existence of a weak solution to a fluid-structure interaction (FSI) problem
between the flow of an incompressible, viscous fluid modeled by the Navier-Stokes …
between the flow of an incompressible, viscous fluid modeled by the Navier-Stokes …
[HTML][HTML] Fluid-poroviscoelastic structure interaction problem with nonlinear geometric coupling
We investigate weak solutions to a fluid-structure interaction (FSI) problem between the flow
of an incompressible, viscous fluid modeled by the Navier-Stokes equations, and a …
of an incompressible, viscous fluid modeled by the Navier-Stokes equations, and a …