scholarly journals Optimal energy decay rates for some wave equations with double damping terms

2019 ◽  
Vol 8 (4) ◽  
pp. 825-846
Author(s):  
Ryo Ikehata ◽  
◽  
Shingo Kitazaki
Keyword(s):  
Wave Equations ◽  
Energy Decay ◽  
Decay Rates ◽  
Optimal Energy ◽  
Energy Decay Rates

scholarly journals Higher order energy decay rates for damped wave equations with variable coefficients

2009 ◽  
Vol 2 (3) ◽  
pp. 609-629 ◽  
Author(s):  
Petronela Radu ◽  
◽  
Grozdena Todorova ◽  
Borislav Yordanov ◽  
◽  
...  
Keyword(s):  
Wave Equations ◽  
Variable Coefficients ◽  
Higher Order ◽  
Energy Decay ◽  
Decay Rates ◽  
Order 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.

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