Submitted

30. G. Avalos, P. G. Geredeli, H. Kunwar, H. Lee; A novel approach to study the wellposedness of the 3D fluid-2D plate interaction PDE System, https://arxiv.org/abs/2509.03431 (2025)

29. P. G. Geredeli, Q. Lin, D. McNight, M. Rahman; Analysis and Numerical Approximation to Interactive Dynamics of Navier Stokes Fluid-Plate Interaction PDE System,  https://arxiv.org/pdf/2507.02230,  (2025)

Refereed 

28. P. G. Geredeli, Spectral Analysis and Asymptotic Decay of the Solutions to Multilayered Structure Stokes Fluid Interaction PDE System, Journal of Differential Equations 427, 1-25, (2025)

27. P. G. Geredeli, H. Kunwar, H. Lee; Partitioning Method for the Finite Element Approximation of a 3D Fluid-2D Plate Interaction System, Numerical Methods for Partial Differential Equations, https://doi.org/10.1002/num.23132 (2024)

26. P. G. Geredeli; An inf-sup Approach to C0− Semigroup Generation for An Interactive Composite Structure-Stokes PDE Dynamics, Journal of Evolution Equations 24 (50), https://doi.org/10.1007/s00028-024-00978-3, (2024)

25. P. G. Geredeli, C. Givens* and A. Zytoon*; Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics, International Journal of Numerical Analysis and Modeling (IJNAM) 20, 329-352, (2023)

24. P. G. Geredeli, L. Rebholz, D. Vargun and A. Zytoon*; Improved convergence of the Arrow- Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson Acceleration, Journal of Computational and Applied Mathematics 422 (114920) https://doi.org/10.1016/j.cam.2022.114920 (2023)

23. P. G. Geredeli; Semigroup Wellposedness and Asymptotic Stability of a Compressible Oseen-Structure Interaction via a Pointwise Resolvent Criterion, Mathematiche Nachrichten 296 (DOI: 10.1002/mana.202100608) 1135-1155, (2023)

22. G. Avalos, P. G. Geredeli and B. Muha; Rational Decay of A Multilayered Structure- Fluid PDE System, Journal of Mathematical Analysis and Applications 514 (2), https://doi.org/10.1016/j.jmaa.2022.126284 (2022)

21. G. Avalos, B. Belinskiy and P. G. Geredeli; Introduction for Special Issue on Modern Applied Analysis, Applicable Analysis 101 (5) (2022)

20. G. Avalos, P. G. Geredeli; A Resolvent Criterion Approach to Strong Decay of a Multilayered Lam ́e-Heat System, Applicable Analysis 101 (5) 1637-1650 (2022)

19. P. G. Geredeli; Bounded Semigroup Wellposedness for a Linearized Compressible Flow Structure PDE Interaction with Material Derivative, SIAM Journal on Mathematical Analysis, Vol 53 (2), 1711-1744 (2021)

18. P. G. Geredeli; A Time Domain Approach for the Exponential Stability of a Nondissipative Linearized Compressible Flow-Structure PDE System, Mathematical Methods in the Applied Sciences, Vol (44) No 2, 1326-1342 (2021)

17. G. Avalos, P. G. Geredeli, B. Muha; Wellposedness, Spectral Analysis and Asymptotic Stability of a Multilayered Heat-Wave-Wave System, Journal of Differential Equations 269, 7129-7156 (2020)

16. G. Avalos, P. G. Geredeli; Exponential Stability and Supporting Spectral Analysis of a Linearized Compressible Flow-Structure PDE Model, Journal of Evolution Equations 20, 1-38 (2020)

15. G. Avalos, P. G. Geredeli, J. T. Webster; A Linearized Viscous, Compressible Flow- Plate Interaction with Non-dissipative Coupling, Journal of Math. Anal. And Appl., Volume 477 (1), 334-356 (2019)

14. G. Avalos, P. G. Geredeli; Stability Analysis of Coupled Structural Acoustics PDE Models under Thermal Effects and with no Additional Dissipation, Mathematische Nachrichten, Volume 292 (5), 939-960 (2019)

13. G. Avalos, P. G. Geredeli, J. T. Webster; Semigroup Well-posedness of A Linearized, Compressible Fluid with An Elastic Boundary, Discrete and Continuous Dynamical Systems-B, 23 (3), 1267-1295 (2018)

12. G. Avalos, P. G. Geredeli, J. T. Webster; Finite dimensional smooth attractors for the Berger plate with dissipation acting on a portion of the boundary, Communications on Pure and Applied Analysis 15, 2301-2328 (2016)

11. G. Avalos, P. G. Geredeli; Uniform Stability for Solutions of Structural Acoustics PDE Model with no Added Dissipative Feedback, Mathematical Methods in the Applied Sciences, Vol 39 (18), 5497-5512 (2016)

10. P. G. Geredeli, J. T. Webster; Qualitative Results on the Dynamics of a Berger Plate with Nonlinear Boundary Damping, Nonlinear Analysis: Real World Applications 31, 227-256 (2016)

9. M. Conti, P. G. Geredeli; Existence of smooth global attractors for nonlinear viscoelastic equations with memory, Journal of Evolution Equations 15 (3), 533-558 (2015)

8. V. Danese, P. G. Geredeli, V. Pata; Exponential Attractors for Abstract Equations with Memory and Applications to viscoelasticity, Discrete and Continuous Dynamical Systems-A 35 (7), 2881-2904 (2015)

7.  P. G. Geredeli, On the Existence of Regular Global Attractor for p-Laplacian Evolution Equation; Applied Mathematics and Optimization 71 (3), 517-532 (2015)

6. P. G. Geredeli, J. T. Webster; Erratum to: Decay Rates to Equilibrium for Nonlinear Plate Equations with Degenerate Geometrically-Constrained Damping, Appl Math Optim 70, 565–566 (2014)

5.  P. G. Geredeli, I. Lasiecka; Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity, Nonlinear Analysis: Theory, Methods & Applications 91, 72-92 (2013)

4. P. G. Geredeli, J. T. Webster; Decay Rates to Equilibrium for Nonlinear Plate Equations with Degenerate Geometrically-Constrained Damping, Applied Mathematics Optimization 68, 361-390 (2013)

3.  P. G. Geredeli, I. Lasiecka and J. T. Webster; Smooth attractors of finite dimension for von Karman evolutions with nonlinear frictional damping localized in a boundary layer, Journal of Differential Equations 254, 1193-1229 (2013)

2. P. G. Geredeli, A. Kh. Khanmamedov; Long-time dynamics of the parabolic p-Laplacian equation, Comm. on Pure and Appl. Anal., vol 2, 735-754 (2013)

1. P. G. Geredeli, A. Kh. Khanmamedov; On the Long-time Behavior of the Quasilinear Parabolic Equation, Numerical Analysis and Applied Mathematics, Vol. I-III, AIP Conference Proceedings 128, 1987-1990 (2010)