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)

Refereed 

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, Communications in Nonlinear Science and Numerical Simulation, In press  (2025)

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)