scholarly journals Optimal decay rates of a nonlinear suspension bridge with memories

2021 ◽  
Author(s):  
Mounir Afilal ◽  
Baowei Feng ◽  
Abdelaziz Soufyane
Keyword(s):  
Suspension Bridge ◽  
Decay Rates ◽  
Optimal Decay Rates ◽  
Optimal Decay

scholarly journals OPTIMAL DECAY RATES OF A NONLINEAR SUSPENSION BRIDGE WITH MEMORIES

2021 ◽  
Author(s):  
Mounir Afilal ◽  
Baowei Feng ◽  
Abdelaziz Soufyane
Keyword(s):  
Energy Method ◽  
Suspension Bridge ◽  
Decay Rates ◽  
One Dimension ◽  
Lyapunov Functionals ◽  
Decay Properties ◽  
Optimal Decay Rates ◽  
Optimal Decay

In this paper, we investigate the decay properties of suspension bridge with memories in one dimension. To prove our results, we use the energy method to build some very delicate Lyapunov functionals that give the desired results.

scholarly journals A new stability result for a thermoelastic Bresse system with viscoelastic damping

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Soh Edwin Mukiawa ◽  
Cyril Dennis Enyi ◽  
Tijani Abdulaziz Apalara
Keyword(s):  
Stability Result ◽  
Bending Moment ◽  
Decay Rates ◽  
Viscoelastic Damping ◽  
Physical Parameters ◽  
Bresse System ◽  
Solution Energy ◽  
Optimal Decay Rates ◽  
Optimal Decay ◽  
Weaker Conditions

AbstractWe investigate a thermoelastic Bresse system with viscoelastic damping acting on the shear force and heat conduction acting on the bending moment. We show that with weaker conditions on the relaxation function and physical parameters, the solution energy has general and optimal decay rates. Some examples are given to illustrate the findings.

scholarly journals Optimal decay rates for the stabilization of a string network

2014 ◽  
Vol 352 (6) ◽  
pp. 491-495 ◽  
Author(s):  
Mohamed Jellouli ◽  
Michel Mehrenberger
Keyword(s):  
Decay Rates ◽  
Optimal Decay Rates ◽  
Optimal Decay
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