activity
20172021
most citedExponential Stability and Supporting Spectral Analysis of a Linearized Compressible Flow-Structure PDE Model

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.AP2021

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…

math.AP2021

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…

math.AP2020

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…

math.AP2019

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…

math.AP2018

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…

math.AP2017

Stability Analysis of Coupled Structural Acoustics PDE Models under Thermal Effects and with no Additional Dissipation

George Avalos, Pelin G. Geredeli

In this study we consider a coupled system of partial differential equations (PDE's) which describes a certain structural acoustics interaction. One component of this PDE system is…