1 citations · 3 across the 15 of their papers we have counts for
18 papers
Semigroup Solutions for A Multilayered Filtration System
George Avalos, Galen Richard, Justin T. Webster
We investigate solutions to a coupled system of partial differential equations that describe a multilayered filtration system. Namely, we study the interaction of a viscous incompr…
A Revisiting of the Pressure Elimination for a Fluid-Structure PDE Interaction and Its Implications
George Avalos, Yuhao Mu
In this paper we construct a novel technique for eliminating and recovering the pressure for a fluid-structure interaction model. This pressure elimination methodology is valid for…
A novel approach to study the wellposedness of the 3D fluid-2D plate interaction PDE System
George Avalos, Pelin G. Geredeli, Hemanta Kunwar +1
We consider a certain fluid-structure interaction (FSI) system with a view of obtaining an alternative methodology for establishing its strongly continuous semigroup wellposedness.…
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…