1 citations · 2 across the 9 of their papers we have counts for
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Rational Decay of A Multilayered Structure-Fluid PDE System
George Avalos, Pelin G. Geredeli, Boris Muha
In this work, we consider a certain multilayered (thick layer) wave--(thin layer) wave--heat (fluid) interactive PDE system. Such coupled PDE systems have been used in the literatu…
A Resolvent Criterion Approach to Strong Decay of a Multilayered Lamé-Heat System
George Avalos, Pelin G. Geredeli
We consider a multilayer hyperbolic-parabolic PDE system which constitutes a coupling of 3D thermal - 2D elastic - 3D elastic dynamics, in which the boundary interface coupling bet…
Asymptotic Stability of a Compressible Oseen-Structure Interaction via a Pointwise Resolvent Criterion
Pelin Guven Geredeli
In this study, we consider a linearized compressible flow structure interaction PDE model for which the interaction interface is under the effect of material derivative term. While…
Bounded Semigroup Wellposedness for a Linearized Compressible Flow Structure PDE Interaction with Material Derivative
Pelin G. Geredeli
We consider a compressible flow structure interaction (FSI) PDE system which is linearized about some reference rest state. The deformable interface is under the effect of an ambie…
Wellposedness, Spectral Analysis and Asymptotic Stability of a Multilayered Heat-Wave-Wave System
George Avalos, Pelin G. Geredeli, Boris Muha
n this work we consider a multilayered heat-wave system where a 3-D heat equation is coupled with a 3-D wave equation via a 2-D interface whose dynamics is described by a 2-D wave…
A Linearized Viscous, Compressible Flow-Plate Interaction with Non-dissipative Coupling
George Avalos, Pelin Guven Geredeli, Justin T. Webster
We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible…