# Decay property for the timoshenko system with memory-type dissipation

Yongqin Liu, Shuichi Kawashima

18 引用 (Scopus)

### 抄録

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.

元の言語 英語 1150012-1 Mathematical Models and Methods in Applied Sciences 22 2 https://doi.org/10.1142/S0218202511500126 出版済み - 2 1 2012

### Fingerprint

Dissipation
Decay
Data storage equipment
Pointwise Estimates
Memory Term
Decay Estimates
Initial value problems
Laplace transforms
Energy Method
Fundamental Solution
Laplace transform
Initial Value Problem
Fourier transform
Fourier transforms
Regularity

### All Science Journal Classification (ASJC) codes

• Modelling and Simulation
• Applied Mathematics

### これを引用

Decay property for the timoshenko system with memory-type dissipation. / Liu, Yongqin; Kawashima, Shuichi.

：: Mathematical Models and Methods in Applied Sciences, 巻 22, 番号 2, 1150012-1, 01.02.2012.

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