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).

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 Exponential Decay for Nonlinear von Kármán Equations with Memory

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Jum-Ran Kang
Keyword(s):  
Exponential Decay ◽  
Memory Term ◽  
Von Karman ◽  
Von Kármán Equations ◽  
Von Kármán ◽  
With Memory

We consider the nonlinear von Kármán equations with memory term. We show the exponential decay result of solutions. Our result is established without imposing the usual relation betweengand its derivative. This result improves on earlier ones concerning the exponential decay.

UPPER SEMICONTINUITY OF GLOBAL ATTRACTORS FOR 2D NAVIER–STOKES EQUATIONS

2012 ◽  
Vol 22 (03) ◽  
pp. 1250046 ◽  
Author(s):  
CAIDI ZHAO ◽  
JINQIAO DUAN
Keyword(s):  
Global Attractor ◽  
Stokes Equations ◽  
Upper Semicontinuity ◽  
Global Attractors ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
Simply Connected

In this paper, the authors consider the two-dimensional Navier–Stokes equations defined on Ω = ℝ × (-L, L) and [Formula: see text], where [Formula: see text] is an expanding sequence of simply connected, bounded and smooth subdomains of Ω such that Ωm → Ω as m → ∞. Let [Formula: see text] and [Formula: see text] be the global attractors of the equations corresponding to Ω and Ωm, respectively, we establish that for any neighborhood [Formula: see text] of [Formula: see text], the global attractor [Formula: see text] enters [Formula: see text] if m is large enough.

scholarly journals Exponential Attractors for the 3D Fractional-order Bardina Turbulence Model With Memory and Horizontal Filtering

2021 ◽  
Author(s):  
Michele Annese ◽  
Luca Bisconti ◽  
Davide Catania
Keyword(s):  
Phase Space ◽  
Fractional Order ◽  
Turbulence Model ◽  
Memory Term ◽  
Exponential Attractor ◽  
Exponential Attractors ◽  
Regularity Properties ◽  
Hereditary Effects ◽  
With Memory ◽  
Simplified Bardina

AbstractWe consider the 3D simplified Bardina turbulence model with horizontal filtering, fractional dissipation, and the presence of a memory term incorporating hereditary effects. We analyze the regularity properties and the dissipative nature of the considered system and, in our main result, we show the existence of a global exponential attractor in a suitable phase space.

scholarly journals Generalized diffusion-wave equation with memory kernel

2018 ◽  
Vol 52 (1) ◽  
pp. 015201 ◽  
Author(s):  
Trifce Sandev ◽  
Zivorad Tomovski ◽  
Johan L A Dubbeldam ◽  
Aleksei Chechkin
Keyword(s):  
Wave Equation ◽  
Memory Kernel ◽  
Diffusion Wave ◽  
With Memory
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