scholarly journals General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Mi Jin Lee ◽  
Daewook Kim ◽  
Jong Yeoul Park
Keyword(s):  
Boundary Conditions ◽  
General Decay ◽  
Acoustic Boundary Conditions ◽  
Kirchhoff Type ◽  
Decay Of Solutions

scholarly journals General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions

2021 ◽  
Author(s):  
Mi Jin Lee ◽  
Jong-Yeoul Park ◽  
Jum-Ran Kang
Keyword(s):  
Boundary Conditions ◽  
Energy Decay ◽  
General Decay ◽  
Lyapunov Functionals ◽  
Decay Estimates ◽  
Acoustic Boundary Conditions ◽  
Kirchhoff Type ◽  
General Energy ◽  
Viscoelastic Equation ◽  
Nonlinear Delay

In this paper, we consider the general energy decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions. By introducing suitable energy and Lyapunov functionals, we establish the general decay estimates for the energy, which depends on the behavior of both sigma and g.

scholarly journals General decay of solutions of a thermoelastic Bresse system with viscoelastic boundary conditions

2021 ◽  
Vol 39 (6) ◽  
pp. 157-182
Author(s):  
Ammar Khemmoudj
Keyword(s):  
Heat Conduction ◽  
Boundary Conditions ◽  
Decay Rates ◽  
General Decay ◽  
Polynomial Decay ◽  
Relaxation Functions ◽  
Bresse System ◽  
Decay Of Solutions ◽  
Special Cases

In this paper we consider a multidimensional thermoviscoelastic system of Bresse type where the heat conduction is given by Green and Naghdi theories. For a wider class of relaxation functions, We show that the dissipation produced by the memory eect is strong enough to produce a general decay results. We establish a general decay results, from which the usual exponential and polynomial decay rates are only special cases.

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