scholarly journals Exponential decay of solutions for the plate equation with localized damping

2014 ◽  
Vol 38 (9) ◽  
pp. 1767-1780 ◽  
Author(s):  
Sema Simsek ◽  
Azer Khanmamedov
Keyword(s):  
Exponential Decay ◽  
Plate Equation ◽  
Decay Of Solutions ◽  
Localized Damping

scholarly journals Existence of Global Attractors for the Nonlinear Plate Equation with Memory Term

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Lifang Niu ◽  
Jianwen Zhang
Keyword(s):  
Rectangular Plate ◽  
Global Attractor ◽  
Exponential Decay ◽  
Global Attractors ◽  
Memory Term ◽  
Two Dimensional ◽  
Plate Equation ◽  
Memory Kernel ◽  
Nonlinear Plate ◽  
With Memory

A two-dimensional nonlinear plate equation is revisited, which arises from the model of the viscoelastic thin rectangular plate with four edges supported. We establish that the system is exponentially decayed if the memory kernel satisfies the condition of the exponential decay. Furthermore, we show the existence of the global attractor by verifying the condition (C).

scholarly journals Exponential decay of solutions of a semilinear Lipschitz Perturbation of Kirchhoff-Carrier Wave Equation

1993 ◽  
Vol 15 (15) ◽  
pp. 17
Author(s):  
Eleni Bisognin
Keyword(s):  
Wave Equation ◽  
Mixed Problem ◽  
Exponential Decay ◽  
Lipschitz Function ◽  
Global Solutions ◽  
Work Study ◽  
Carrier Wave ◽  
Decay Of Solutions ◽  
Lipschitz Perturbation

In this work study the existence of global solutions and exponential decay of energy of the mixed problem for perturbed Kirchhoff-Carrier wave equationu" - M(a(u)) Δu + F(u) + γ u’ = fwhere F is a Lipschitz function.

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