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 prove existence of weak solutions to a diffuse interface model describing the flow of a
fluid through a deformable porous medium consisting of two phases. The system non …

In this work, we propose a structure‐preserving discretization for the recently studied Cahn‐
Hilliard‐Biot system using conforming finite elements in space and problem‐adapted explicit …

We investigate the well-posedness of the recently proposed Cahn–Hilliard–Biot model. The
model is a three-way coupled PDE of elliptic–parabolic nature, with several nonlinearities …

We study the Cahn-Hilliard-Biot model regarding its mathematical well-posedness. The
system models flow through deformable porous media in which the solid material has two …

This paper presents a study of solution strategies for the Cahn-Hilliard-Biot equations, a
complex mathematical model for understanding flow in deformable porous media with …

This paper is dedicated to the setting and analysis of an optimal control problem for a two-
phase system composed of two non-linearly coupled Chan–Hilliard-type equations. The …

In this paper we propose a solution strategy for the Cahn-Larché equations, which is a
model for linearized elasticity in a medium with two elastic phases that evolve subject to a …

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

In a wide range of engineering and biological applications, processes at a stationary or
moving surface affect the dynamics in the bulk material. Examples of these processes …