Fluids are naturally present in the crust from subsoil to several kilometers deep. The
representation of the Earth's crust as a purely elastic medium ignores the effects of fluids …

We consider the interaction between an incompressible, viscous fluid modeled by the
dynamic Stokes equation and a multilayered poroelastic structure which consists of a thin …

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 …

We consider quasi-static nonlinear poroelastic systems with applications in biomechanics
and, in particular, tissue perfusion. The nonlinear permeability is taken to be dependent on …

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 …

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 …

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 …

Nonlinear extensions of the quasi-static Biot model of consolidation are studied with
emphasis on boundary conditions, attainment of initial values, and parabolic regularizing …

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 …

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 …