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Publications

  1. P. G. Geredeli, C. Givens and A. Zytoon; (2022) Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics, submitted (https://arxiv.org/pdf/2209.08486.pdf)

  2. P. G. Geredeli, L. Rebholz, D. Vargun and A. Zytoon; (2022) Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson Acceleration, submitted (https://arxiv.org/pdf/2203.01534.pdf)

  3. G. Avalos, P. G. Geredeli and B. Muha; (2022) 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
  4. G. Avalos, B. Belinskiy and P. G. Geredeli; (2022) Introduction for Special Issue on Modern Applied Analysis, Applicable Analysis 101 (5)
  5. P. G. Geredeli; (2022) Asymptotic Stability of a Compressible Oseen-Structure Interaction via a Pointwise Resolvent Criterion, Mathematiche Nachrichten, DOI: 10.1002/mana.202100608
  6. G. Avalos, P. G. Geredeli; (2022) A Resolvent Criterion Approach to Strong Decay of a Multilayered Lamé-Heat System, Applicable Analysis 101 (5), https://doi.org/10.1080/00036811.2021.195416 
  7. P. G. Geredeli; (2021) Bounded Semigroup Wellposedness for a Linearized Compressible Flow Structure PDE Interaction with Material Derivative, SIAM Journal on Mathematical Analysis, Vol 53 (2), 1711-1744 
  8.  P. G. Geredeli; (2021) 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 
  9. G. Avalos, P. G. Geredeli, B. Muha; (2020)  Wellposedness, Spectral Analysis and Asymptotic Stability of a Multilayered Heat-Wave-Wave System, Journal of Differential Equations 269, 7129-7156 
  10.  G. Avalos, P. G. Geredeli; (2020) Exponential Stability and Supporting Spectral Analysis of a Linearized Compressible Flow-Structure PDE Model, Journal of Evolution Equations 20, 1-38
  11.  G. Avalos, P. G. Geredeli, J. T. Webster; (2019) A Linearized Viscous, Compressible Flow-Plate Interaction with Non-dissipative Coupling, Journal of Mathematical  Analysis And Applications 477 (1), 334-356 
  12.  G. Avalos, P. G. Geredeli; (2019) Stability Analysis of Coupled Structural Acoustics PDE Models under Thermal Effects and with no Additional Dissipation, Mathematische Nachrichten, Volume 292 (5), 939-960 
  13.  G. Avalos, P. G. Geredeli, J. T. Webster; (2018) Semigroup Well-posedness of A Linearized, Compressible Fluid with An Elastic Boundary, Discrete and Continuous Dynamical Systems-B 23 (3), 1267-1295 
  14.  G. Avalos, P. G. Geredeli, J. T. Webster; (2016) 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
  15.  G. Avalos, P. G. Geredeli; (2016) 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
  16.  P. G. Geredeli, J. T. Webster; (2016) Qualitative Results on the Dynamics of a Berger Plate with Nonlinear Boundary Damping, Nonlinear Anal: Real World Applications 31, 227-256
  17.  M. Conti, P. G. Geredeli; (2015) Existence of smooth global attractors for nonlinear viscoelastic equations with memory, Journal of Evolution Equations 15 (3), 533-558 
  18.  V. Danese, P. G. Geredeli, V. Pata; (2015)  Exponential Attractors for Abstract Equations with Memory and Applications to viscoelasticity, Discrete and Continuous Dynamical Systems-A 35 (7), 2881-2904 
  19.  P. G. Geredeli, (2015) On the Existence of Regular Global Attractor for p-Laplacian Evolution Equation, Appl Math Optim 71 (3), 517-532 
  20.  P. G. Geredeli, J. T. Webster; (2014) Erratum to: Decay Rates to Equilibrium for Nonlinear Plate Equations with Degenerate Geometrically-Constrained Damping, Applied Mathematics and  Optimization 70, 565–566 
  21.  P. G. Geredeli, I. Lasiecka; (2013) 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 
  22.  P. G. Geredeli, J. T. Webster; (2013) Decay Rates to Equilibrium for Nonlinear Plate Equations with Degenerate Geometrically-Constrained Damping, Applied Mathematics and  Optimization 68, 361-390 
  23.  P. G. Geredeli, I. Lasiecka and J. T. Webster; (2013) 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 
  24.  P. G. Geredeli, A. Kh. Khanmamedov; (2013) Long-time dynamics of the parabolic p-Laplacian equation, Communications on Pure and Applied Analysis, vol 2, 735-754
  25.  P. G. Geredeli, A. Kh. Khanmamedov ; (2010) On the Long-time Behavior of the Quasilinear Parabolic Equation, Numerical Analysis and Applied Mathematics, Vol.  I-III, AIP Conference Proceedings 128, 1987-1990