A new surface poroelastic plate model is coupled to Stokes flow; weak solutions exist, strong solutions exist uniquely for a regularized version, exponential decay holds for decaying data, and a finite element method approximates the full Biot-Stokes system well in the thin limit.
Triebel.Interpolation Theory, Function Spaces, Differential Operators, North-Holland, 1978
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A fully averaged poroelastic Kirchhoff plate interacting with an incompressible, viscous fluid: analysis and numerical simulation
A new surface poroelastic plate model is coupled to Stokes flow; weak solutions exist, strong solutions exist uniquely for a regularized version, exponential decay holds for decaying data, and a finite element method approximates the full Biot-Stokes system well in the thin limit.