Weak and strong solutions for a fluid‐poroelastic‐structure interaction via a semigroup approach
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 coupling conditions are taken. In the inertial, linear, and non‐degenerate case, the hyperbolic‐parabolic coupled problem is posed through a dynamics operator on a chosen energy …