General energy decay rates for a weakly damped Timoshenko system

2010 ◽  
Vol 16 (2) ◽  
pp. 211-226 ◽  
Author(s):  
M. I. Mustafa ◽  
S. A. Messaoudi
Keyword(s):  
Energy Decay ◽  
Decay Rates ◽  
Timoshenko System ◽  
General Energy ◽  
Energy Decay Rates

scholarly journals Uniform Energy Decay Rates for the Fuzzy Viscoelastic Model with a Nonlinear Source

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Fengyun Zhang
Keyword(s):  
Viscoelastic Model ◽  
Energy Decay ◽  
Decay Rates ◽  
Polynomial Form ◽  
Computational Technique ◽  
Exponential Form ◽  
Nonlinear Source ◽  
Priori Estimates ◽  
Energy Decay Rates ◽  
Mathematica Software

This paper considers the fuzzy viscoelastic model with a nonlinear source u t t + L u + ∫ 0 t g t − ζ Δ u ζ d ζ − u γ u − η Δ u t = 0 in a bounded field Ω. Under weak assumptions of the function g t , with the aid of Mathematica software, the computational technique is used to construct the auxiliary functionals and precise priori estimates. As time goes to infinity, we prove that the solution is global and energy decays to zero in two different ways: the exponential form and the polynomial form.

scholarly journals Energy decay rates of magnetoelastic waves in a bounded conductive medium

2009 ◽  
Vol 25 (3) ◽  
pp. 797-821 ◽  
Author(s):  
Ruy Coimbra Charão ◽  
◽  
Jáuber Cavalcante Oliveira ◽  
Gustavo Alberto Perla Menzala ◽  
Keyword(s):  
Energy Decay ◽  
Decay Rates ◽  
Conductive Medium ◽  
Energy Decay Rates ◽  
Magnetoelastic Waves
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