scholarly journals General Decay Rates for a Laminated Beam with Memory

2019 ◽  
Vol 23 (5) ◽  
pp. 1227-1252 ◽  
Author(s):  
Zhijing Chen ◽  
Wenjun Liu ◽  
Dongqin Chen
Keyword(s):  
Decay Rates ◽  
General Decay ◽  
Laminated Beam ◽  
With Memory

scholarly journals General decay of the double dispersive wave equation with memory and source terms

2021 ◽  
Vol 5 (1) ◽  
pp. 1-8
Author(s):  
Mohamed Mellah ◽  
Keyword(s):  
Wave Equation ◽  
Bounded Domain ◽  
Global Solutions ◽  
Decay Rates ◽  
General Decay ◽  
Dispersive Wave ◽  
Source Terms ◽  
T Tau ◽  
With Memory ◽  
Dispersive Wave Equation

The double dispersive wave equation with memory and source terms \(u_{tt}-\Delta u-\Delta u_{tt}+\Delta^{2}u-\int_{0}^{t}g(t-\tau)\Delta^{2}u(\tau)d\tau-\Delta u_{t}=|u|^{p-2}u \) is considered in bounded domain. The existence of global solutions and decay rates of the energy are proved.

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.

scholarly journals Decay rates of solutions to a von Kármán system for viscoelastic plates with memory

1999 ◽  
Vol 57 (1) ◽  
pp. 181-200 ◽  
Author(s):  
Jaime E. Muñoz Rivera ◽  
Gustavo Perla Menzala
Keyword(s):  
Decay Rates ◽  
Von Karman ◽  
Von Kármán System ◽  
Von Kármán ◽  
With Memory

scholarly journals New general decay result for a fourth-order Moore-Gibson-Thompson equation with memory

2020 ◽  
Vol 28 (1) ◽  
pp. 433-457
Author(s):  
Wenjun Liu ◽  
◽  
Zhijing Chen ◽  
Zhiyu Tu
Keyword(s):  
Fourth Order ◽  
General Decay ◽  
With Memory

General decay for a porous thermoelastic system with memory: The case of equal speeds

2011 ◽  
Vol 74 (18) ◽  
pp. 6895-6906 ◽  
Author(s):  
Salim A. Messaoudi ◽  
Abdelfeteh Fareh
Keyword(s):  
General Decay ◽  
With Memory
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