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An inf-sup approach to semigroup wellposedness for a compressible flow - incompressible fluid interactive PDE system
Paula Egging, George Avalos
This work presents qualitative and numerical results on a system of partial differential equations (PDEs) which models certain fluid-fluid interaction dynamics. This system models…
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…
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…
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…