1 citations · 2 across the 14 of their papers we have counts for
20 papers
Error Estimates in Physics-Informed Neural Networks to Heat-Wave Fluid-Structure Interactive System
Pelin G. Geredeli, Mohammad Mahabubur Rahman, Deepanshu Verma
We study a physics-informed neural network (PINN) approximation of a coupled PDE system that models the interaction between fluid and elastic dynamics. The canonical heat-wave mode…
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.…
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…
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…
An inf-sup Approach to -Semigroup Generation for An Interactive Composite Structure-Stokes PDE Dynamics
Pelin G. Geredeli
In this work, we investigate the existence and uniqueness properties of a composite structure (multilayered) fluid interaction PDE system which arises in multi-physics problems, an…
Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics
Pelin G. Geredeli, Carson Givens, Ahmed Zytoon
In this paper, we consider a structurally damped elastic equation under hinged boundary conditions. Fully-discrete numerical approximation schemes are generated for the null contro…
Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration
Pelin G. Geredeli, Leo G. Rebholz, Duygu Vargun +1
We consider two modifications of the Arrow-Hurwicz (AH) iteration for solving the incompressible steady Navier-Stokes equations for the purpose of accelerating the algorithm: grad-…
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…
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…
Exponential Stability and Supporting Spectral Analysis of a Linearized Compressible Flow-Structure PDE Model
George Avalos, Pelin G. Geredeli
In this work, a result of exponential stability is obtained for solutions of a compressible flow-structure partial differential equation (PDE) model which has recently appeared in…
Semigroup Well-posedness of A Linearized, Compressible Fluid with An Elastic Boundary
George Avalos, Pelin G. Geredeli, Justin T. Webster
We address semigroup well-posedness of the fluid-structure interaction of a linearized compressible, viscous fluid and an elastic plate (in the absence of rotational inertia). Unli…
Qualitative Results on the Dynamics of a Berger Plate with Nonlinear Boundary Damping
Pelin G. Geredeli, Justin T. Webster
The dynamics of a (nonlinear) Berger plate in the absence of rotational inertia are considered with inhomogenous boundary conditions. In our analysis, we consider boundary damping…
Exponential attractors for abstract equations with memory and applications to viscoelasticity
Valeria Danese, Pelin G. Geredeli, Vittorino Pata
We consider an abstract equation with memory of the form $$\partial_t \boldsymbol{x}(t)+\int_{0}^\infty k(s) \boldsymbol{A}\boldsymbol{x}(t-s){\rm d} s+\boldsymbol{B}\boldsymbol{x}…
Long-time dynamics of the parabolic -Laplacian equation
Pelin Geredeli, Azer Khanmamedov
In this paper, we study the long-time behaviour of solutions of Cauchy problem for the parabolic -Laplacian equation with variable coefficients. Under mild conditions on the coe…
Smooth attractors of finite dimension for von Karman evolutions with nonlinear frictional damping localized in a boundary layer
Pelin G. Geredeli, Irena Lasiecka, Justin T. Webster
In this paper dynamic von Karman equations with localized interior damping supported in a boundary collar are considered. Hadamard well-posedness for von Karman plates with various…