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math.AP2025
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…
math.AP2025
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.…
math.AP2025
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…