4 papers · 1 filter
Uniqueness of Weak Solutions for Biot-Stokes Interactions
George Avalos, Justin T. Webster
We resolve the issue of uniqueness of weak solutions for linear, inertial fluid-poroelastic-structure coupled dynamics. The model comprises a 3D Biot poroelastic system coupled to…
Gevrey Regularity for a Fluid-Structure Interaction Model
George Avalos, Dylan McKnight, Sara McKnight
A result of Gevrey regularity is ascertained for a semigroup which models a fluid-structure interaction problem. In this model, the fluid evolves in a piecewise smooth or convex ge…
Weak and Strong Solutions for A Fluid-Poroelastic-Structure Interaction via A Semigroup Approach
George Avalos, Elena Gurvich, Justin T. Webster
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-Saffma…
Exponential decay properties of a mathematical model for a certain fluid-structure interaction
George Avalos, Francesca Bucci
In this work, we derive a result of exponential stability for a coupled system of partial differential equations (PDEs) which governs a certain fluid-structure interaction. In part…