On dynamic behavior of a hyperbolic thermoelastic system with memory type in terms of eigenfrequencies

2006 ◽  
Author(s):  
Jun-Min Wang ◽  
Bao-Zhu Guo
Keyword(s):  
Dynamic Behavior ◽  
Memory Type ◽  
With Memory

Dynamic behavior of a heat equation with memory

2009 ◽  
Vol 32 (10) ◽  
pp. 1287-1310 ◽  
Author(s):  
Jun-Min Wang ◽  
Bao-Zhu Guo ◽  
Meng-Yin Fu
Keyword(s):  
Heat Equation ◽  
Dynamic Behavior ◽  
Heat Equation With Memory ◽  
With Memory

DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH MEMORY-TYPE DISSIPATION

2012 ◽  
Vol 22 (02) ◽  
pp. 1150012 ◽  
Author(s):  
YONGQIN LIU ◽  
SHUICHI KAWASHIMA
Keyword(s):  
Decay Estimate ◽  
Pointwise Estimate ◽  
Decay Property ◽  
Memory Term ◽  
Fourier Space ◽  
Initial Value ◽  
Timoshenko System ◽  
Frictional Dissipation ◽  
Memory Type ◽  
With Memory

In this paper we consider the initial value problem for the Timoshenko system with a memory term. We construct the fundamental solution by using the Fourier–Laplace transform and obtain the solution formula of the problem. Moreover, applying the energy method in the Fourier space, we derive the pointwise estimate of solutions in the Fourier space, which gives a sharp decay estimate of solutions. It is shown that the decay property of the system is of the regularity-loss type and is weaker than that of the Timoshenko system with a frictional dissipation.

scholarly journals Decay property for a plate equation with memory-type dissipation

2011 ◽  
Vol 4 (2) ◽  
pp. 531-547 ◽  
Author(s):  
Yongqin Liu ◽  
◽  
Shuichi Kawashima ◽  
Keyword(s):  
Decay Property ◽  
Plate Equation ◽  
Memory Type ◽  
With Memory

scholarly journals A New General Decay Rate of Wave Equation with Memory-Type Boundary Control

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Sheng Fan
Keyword(s):  
Wave Equation ◽  
Decay Rate ◽  
General Decay ◽  
Forced Oscillations ◽  
Memory Term ◽  
General Decay Rate ◽  
Damped Oscillations ◽  
Memory Type ◽  
Type Boundary ◽  
With Memory

Of interest is a wave equation with memory-type boundary oscillations, in which the forced oscillations of the rod is given by a memory term at the boundary. We establish a new general decay rate to the system. And it possesses the character of damped oscillations and tends to a finite value for a large time. By assuming the resolvent kernel that is more general than those in previous papers, we establish a more general energy decay result. Hence the result improves earlier results in the literature.

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