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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
Analysis and Numerical Approximation to Interactive Dynamics of Navier Stokes-Plate Interaction PDE System
Pelin G. Geredeli, Quyuan Lin, Dylan Mcknight +1
We consider a Navier-Stokes fluid-plate interaction (FSI) system which describes the evolutions of the fluid contained within a 3D cavity, as it interacts with a deformable elastic…
math.AP2024
Spectral Analysis and Asymptotic Decay of the Solutions to Multilayered Structure-Stokes Fluid Interaction PDE System
Pelin Guven Geredeli
In this work, the dynamics of a multilayered structure-fluid interaction (FSI) PDE system is considered. Here, the coupling of 3D Stokes and 3D elastic dynamics is realized via an…