Global attractors for a Kirchhoff type plate equation with memory

2017 ◽  
Vol 40 (1) ◽  
pp. 63-78 ◽  
Author(s):  
Xiaobin Yao ◽  
Qiaozhen Ma ◽  
Ling Xu
Keyword(s):  
Global Attractors ◽  
Plate Equation ◽  
Kirchhoff Type ◽  
With Memory

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 Global Attractors of the Extensible Plate Equations with Nonlinear Damping and Memory

2017 ◽  
Vol 2017 ◽  
pp. 1-10
Author(s):  
Xiaobin Yao ◽  
Qiaozhen Ma
Keyword(s):  
Global Attractor ◽  
Function Method ◽  
Global Attractors ◽  
Nonlinear Damping ◽  
Kirchhoff Type ◽  
Contraction Function ◽  
Plate Equations

We prove in this paper the existence of a global attractor for the plate equations of Kirchhoff type with nonlinear damping and memory using the contraction function method.

scholarly journals Strong Solutions and Global Attractors for Kirchhoff Type Equation

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Xiangping Chen
Keyword(s):  
Phase Space ◽  
Type Equation ◽  
Strong Solutions ◽  
Global Attractors ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Kirchhoff Type ◽  
Kirchhoff Type Equation ◽  
Long Time ◽  
Linear Damping

We study the long-time behavior of the Kirchhoff type equation with linear damping. We prove the existence of strong solution and the semigroup associated with the solution possesses a global attractor in the higher phase space.

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