scholarly journals Estimate on the Dimension of Global Attractor for Nonlinear Higher-Order Coupled Kirchhoff Type Equations

2018 ◽  
Vol 08 (01) ◽  
pp. 11-24
Author(s):  
Guoguang Lin ◽  
Lingjuan Hu
Keyword(s):  
Global Attractor ◽  
Higher Order ◽  
Kirchhoff Type

scholarly journals Global Attractors for the Higher-Order Evolution Equation

2020 ◽  
Vol 5 (1) ◽  
pp. 195-210
Author(s):  
Erhan Pişkin ◽  
Hazal Yüksekkaya
Keyword(s):  
Asymptotic Behavior ◽  
Evolution Equation ◽  
Global Solution ◽  
Global Attractor ◽  
Type Equation ◽  
Global Attractors ◽  
Higher Order ◽  
Evolution Type

AbstractIn this paper, we obtain the existence of a global attractor for the higher-order evolution type equation. Moreover, we discuss the asymptotic behavior of global solution.

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 A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation

2007 ◽  
Vol 20 (8) ◽  
pp. 866-871 ◽  
Author(s):  
Salim A. Messaoudi ◽  
Belkacem Said Houari
Keyword(s):  
Hyperbolic Equation ◽  
Blow Up ◽  
Higher Order ◽  
Kirchhoff Type
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